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Finding the Fourth Proportional to 23,597.92, 32,565.54 and 13,528

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Solution

The fourth proportional to 23,597.92, 32,565.54 and 13,528 is: 18,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.92 : 32,565.54 = 13,528 : x
  2. Step 2: Convert to fraction form
    23,597.92/32,565.54 = 13,528/x
  3. Step 3: Cross multiply
    23,597.92x = 32,565.54 × 13,528
  4. Step 4: Simplify right side
    23,597.92x = 440,546,625.12
  5. Step 5: Solve for x
    x = 440,546,625.12/23,597.92
  6. Step 6: Final answer
    x = 18,668.88

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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.