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Finding the Fourth Proportional to 11,829.30, 17,743.95 and 9,715.20

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Solution

The fourth proportional to 11,829.30, 17,743.95 and 9,715.20 is: 14,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.30 : 17,743.95 = 9,715.20 : x
  2. Step 2: Convert to fraction form
    11,829.30/17,743.95 = 9,715.20/x
  3. Step 3: Cross multiply
    11,829.30x = 17,743.95 × 9,715.20
  4. Step 4: Simplify right side
    11,829.30x = 172,386,023.04
  5. Step 5: Solve for x
    x = 172,386,023.04/11,829.30
  6. Step 6: Final answer
    x = 14,572.80

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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.