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Finding the Fourth Proportional to 19,641.03, 29,468.97 and 9,116.10

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Solution

The fourth proportional to 19,641.03, 29,468.97 and 9,116.10 is: 13,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.03 : 29,468.97 = 9,116.10 : x
  2. Step 2: Convert to fraction form
    19,641.03/29,468.97 = 9,116.10/x
  3. Step 3: Cross multiply
    19,641.03x = 29,468.97 × 9,116.10
  4. Step 4: Simplify right side
    19,641.03x = 268,642,077.42
  5. Step 5: Solve for x
    x = 268,642,077.42/19,641.03
  6. Step 6: Final answer
    x = 13,677.60

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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.