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Finding the Fourth Proportional to 23,387.96, 32,275.38 and 13,315.88

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Solution

The fourth proportional to 23,387.96, 32,275.38 and 13,315.88 is: 18,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.96 : 32,275.38 = 13,315.88 : x
  2. Step 2: Convert to fraction form
    23,387.96/32,275.38 = 13,315.88/x
  3. Step 3: Cross multiply
    23,387.96x = 32,275.38 × 13,315.88
  4. Step 4: Simplify right side
    23,387.96x = 429,775,087.03
  5. Step 5: Solve for x
    x = 429,775,087.03/23,387.96
  6. Step 6: Final answer
    x = 18,375.91

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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.