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Finding the Fourth Proportional to 16,104.16, 24,193.12 and 9,534.88

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Solution

The fourth proportional to 16,104.16, 24,193.12 and 9,534.88 is: 14,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.16 : 24,193.12 = 9,534.88 : x
  2. Step 2: Convert to fraction form
    16,104.16/24,193.12 = 9,534.88/x
  3. Step 3: Cross multiply
    16,104.16x = 24,193.12 × 9,534.88
  4. Step 4: Simplify right side
    16,104.16x = 230,678,496.03
  5. Step 5: Solve for x
    x = 230,678,496.03/16,104.16
  6. Step 6: Final answer
    x = 14,324.16

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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.