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Finding the Fourth Proportional to 14,164.92, 19,547.12 and 7,791.46

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Solution

The fourth proportional to 14,164.92, 19,547.12 and 7,791.46 is: 10,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.92 : 19,547.12 = 7,791.46 : x
  2. Step 2: Convert to fraction form
    14,164.92/19,547.12 = 7,791.46/x
  3. Step 3: Cross multiply
    14,164.92x = 19,547.12 × 7,791.46
  4. Step 4: Simplify right side
    14,164.92x = 152,300,603.60
  5. Step 5: Solve for x
    x = 152,300,603.60/14,164.92
  6. Step 6: Final answer
    x = 10,751.96

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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.