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Finding the Fourth Proportional to 16,503.38, 24,754.68 and 4,023.50

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Solution

The fourth proportional to 16,503.38, 24,754.68 and 4,023.50 is: 6,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.38 : 24,754.68 = 4,023.50 : x
  2. Step 2: Convert to fraction form
    16,503.38/24,754.68 = 4,023.50/x
  3. Step 3: Cross multiply
    16,503.38x = 24,754.68 × 4,023.50
  4. Step 4: Simplify right side
    16,503.38x = 99,600,454.98
  5. Step 5: Solve for x
    x = 99,600,454.98/16,503.38
  6. Step 6: Final answer
    x = 6,035.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.