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Finding the Fourth Proportional to 16,402.30, 24,616 and 12,031.14

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Solution

The fourth proportional to 16,402.30, 24,616 and 12,031.14 is: 18,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.30 : 24,616 = 12,031.14 : x
  2. Step 2: Convert to fraction form
    16,402.30/24,616 = 12,031.14/x
  3. Step 3: Cross multiply
    16,402.30x = 24,616 × 12,031.14
  4. Step 4: Simplify right side
    16,402.30x = 296,158,542.24
  5. Step 5: Solve for x
    x = 296,158,542.24/16,402.30
  6. Step 6: Final answer
    x = 18,055.92

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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.