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Finding the Fourth Proportional to 24,503.72, 36,767.73 and 9,712.31

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Solution

The fourth proportional to 24,503.72, 36,767.73 and 9,712.31 is: 14,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.72 : 36,767.73 = 9,712.31 : x
  2. Step 2: Convert to fraction form
    24,503.72/36,767.73 = 9,712.31/x
  3. Step 3: Cross multiply
    24,503.72x = 36,767.73 × 9,712.31
  4. Step 4: Simplify right side
    24,503.72x = 357,099,591.76
  5. Step 5: Solve for x
    x = 357,099,591.76/24,503.72
  6. Step 6: Final answer
    x = 14,573.28

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1.5x scale

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.