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Finding the Fourth Proportional to 24,337.70, 36,503.85 and 6,809.30

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Solution

The fourth proportional to 24,337.70, 36,503.85 and 6,809.30 is: 10,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.70 : 36,503.85 = 6,809.30 : x
  2. Step 2: Convert to fraction form
    24,337.70/36,503.85 = 6,809.30/x
  3. Step 3: Cross multiply
    24,337.70x = 36,503.85 × 6,809.30
  4. Step 4: Simplify right side
    24,337.70x = 248,565,665.81
  5. Step 5: Solve for x
    x = 248,565,665.81/24,337.70
  6. Step 6: Final answer
    x = 10,213.19

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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.