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Finding the Fourth Proportional to 16,498.38, 24,742.37 and 5,402.52

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Solution

The fourth proportional to 16,498.38, 24,742.37 and 5,402.52 is: 8,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.38 : 24,742.37 = 5,402.52 : x
  2. Step 2: Convert to fraction form
    16,498.38/24,742.37 = 5,402.52/x
  3. Step 3: Cross multiply
    16,498.38x = 24,742.37 × 5,402.52
  4. Step 4: Simplify right side
    16,498.38x = 133,671,121.76
  5. Step 5: Solve for x
    x = 133,671,121.76/16,498.38
  6. Step 6: Final answer
    x = 8,102.08

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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.