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Finding the Fourth Proportional to 19,547.74, 29,329.89 and 9,687.19

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Solution

The fourth proportional to 19,547.74, 29,329.89 and 9,687.19 is: 14,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.74 : 29,329.89 = 9,687.19 : x
  2. Step 2: Convert to fraction form
    19,547.74/29,329.89 = 9,687.19/x
  3. Step 3: Cross multiply
    19,547.74x = 29,329.89 × 9,687.19
  4. Step 4: Simplify right side
    19,547.74x = 284,124,217.11
  5. Step 5: Solve for x
    x = 284,124,217.11/19,547.74
  6. Step 6: Final answer
    x = 14,534.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.