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Finding the Fourth Proportional to 10,704.42, 16,032.15 and 9,008.10

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Solution

The fourth proportional to 10,704.42, 16,032.15 and 9,008.10 is: 13,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.42 : 16,032.15 = 9,008.10 : x
  2. Step 2: Convert to fraction form
    10,704.42/16,032.15 = 9,008.10/x
  3. Step 3: Cross multiply
    10,704.42x = 16,032.15 × 9,008.10
  4. Step 4: Simplify right side
    10,704.42x = 144,419,210.42
  5. Step 5: Solve for x
    x = 144,419,210.42/10,704.42
  6. Step 6: Final answer
    x = 13,491.55

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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.