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Finding the Fourth Proportional to 14,164.65, 19,547.45 and 7,791.77

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Solution

The fourth proportional to 14,164.65, 19,547.45 and 7,791.77 is: 10,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.65 : 19,547.45 = 7,791.77 : x
  2. Step 2: Convert to fraction form
    14,164.65/19,547.45 = 7,791.77/x
  3. Step 3: Cross multiply
    14,164.65x = 19,547.45 × 7,791.77
  4. Step 4: Simplify right side
    14,164.65x = 152,309,234.49
  5. Step 5: Solve for x
    x = 152,309,234.49/14,164.65
  6. Step 6: Final answer
    x = 10,752.77

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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.