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Finding the Fourth Proportional to 23,572.92, 32,530.80 and 12,962.70

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Solution

The fourth proportional to 23,572.92, 32,530.80 and 12,962.70 is: 17,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.92 : 32,530.80 = 12,962.70 : x
  2. Step 2: Convert to fraction form
    23,572.92/32,530.80 = 12,962.70/x
  3. Step 3: Cross multiply
    23,572.92x = 32,530.80 × 12,962.70
  4. Step 4: Simplify right side
    23,572.92x = 421,687,001.16
  5. Step 5: Solve for x
    x = 421,687,001.16/23,572.92
  6. Step 6: Final answer
    x = 17,888.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.