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Finding the Fourth Proportional to 16,052.55, 24,115.77 and 11,384.10

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Solution

The fourth proportional to 16,052.55, 24,115.77 and 11,384.10 is: 17,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,052.55 : 24,115.77 = 11,384.10 : x
  2. Step 2: Convert to fraction form
    16,052.55/24,115.77 = 11,384.10/x
  3. Step 3: Cross multiply
    16,052.55x = 24,115.77 × 11,384.10
  4. Step 4: Simplify right side
    16,052.55x = 274,536,337.26
  5. Step 5: Solve for x
    x = 274,536,337.26/16,052.55
  6. Step 6: Final answer
    x = 17,102.35

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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.