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Finding the Fourth Proportional to 23,507.92, 32,440.88 and 12,897.68

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Solution

The fourth proportional to 23,507.92, 32,440.88 and 12,897.68 is: 17,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.92 : 32,440.88 = 12,897.68 : x
  2. Step 2: Convert to fraction form
    23,507.92/32,440.88 = 12,897.68/x
  3. Step 3: Cross multiply
    23,507.92x = 32,440.88 × 12,897.68
  4. Step 4: Simplify right side
    23,507.92x = 418,412,089.16
  5. Step 5: Solve for x
    x = 418,412,089.16/23,507.92
  6. Step 6: Final answer
    x = 17,798.77

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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.