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Finding the Fourth Proportional to 14,368,547.67, 19,828,314.72 and 7,842,223.91

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Solution

The fourth proportional to 14,368,547.67, 19,828,314.72 and 7,842,223.91 is: 10,822,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368,547.67 : 19,828,314.72 = 7,842,223.91 : x
  2. Step 2: Convert to fraction form
    14,368,547.67/19,828,314.72 = 7,842,223.91/x
  3. Step 3: Cross multiply
    14,368,547.67x = 19,828,314.72 × 7,842,223.91
  4. Step 4: Simplify right side
    14,368,547.67x = 155,498,083,693,047.38
  5. Step 5: Solve for x
    x = 155,498,083,693,047.38/14,368,547.67
  6. Step 6: Final answer
    x = 10,822,115.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.