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Finding the Fourth Proportional to 16,238.52, 24,302.39 and 10,002.83

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Solution

The fourth proportional to 16,238.52, 24,302.39 and 10,002.83 is: 14,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.52 : 24,302.39 = 10,002.83 : x
  2. Step 2: Convert to fraction form
    16,238.52/24,302.39 = 10,002.83/x
  3. Step 3: Cross multiply
    16,238.52x = 24,302.39 × 10,002.83
  4. Step 4: Simplify right side
    16,238.52x = 243,092,675.76
  5. Step 5: Solve for x
    x = 243,092,675.76/16,238.52
  6. Step 6: Final answer
    x = 14,970.13

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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.