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Finding the Fourth Proportional to 24,721.92, 37,056.96 and 9,129.60

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Solution

The fourth proportional to 24,721.92, 37,056.96 and 9,129.60 is: 13,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721.92 : 37,056.96 = 9,129.60 : x
  2. Step 2: Convert to fraction form
    24,721.92/37,056.96 = 9,129.60/x
  3. Step 3: Cross multiply
    24,721.92x = 37,056.96 × 9,129.60
  4. Step 4: Simplify right side
    24,721.92x = 338,315,222.02
  5. Step 5: Solve for x
    x = 338,315,222.02/24,721.92
  6. Step 6: Final answer
    x = 13,684.83

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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.