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Finding the Fourth Proportional to 19,598.90, 29,414.55 and 9,085.10

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Solution

The fourth proportional to 19,598.90, 29,414.55 and 9,085.10 is: 13,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598.90 : 29,414.55 = 9,085.10 : x
  2. Step 2: Convert to fraction form
    19,598.90/29,414.55 = 9,085.10/x
  3. Step 3: Cross multiply
    19,598.90x = 29,414.55 × 9,085.10
  4. Step 4: Simplify right side
    19,598.90x = 267,234,128.21
  5. Step 5: Solve for x
    x = 267,234,128.21/19,598.90
  6. Step 6: Final answer
    x = 13,635.16

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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.