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Finding the Fourth Proportional to 23,508.01, 32,441.27 and 12,898.02

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Solution

The fourth proportional to 23,508.01, 32,441.27 and 12,898.02 is: 17,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.01 : 32,441.27 = 12,898.02 : x
  2. Step 2: Convert to fraction form
    23,508.01/32,441.27 = 12,898.02/x
  3. Step 3: Cross multiply
    23,508.01x = 32,441.27 × 12,898.02
  4. Step 4: Simplify right side
    23,508.01x = 418,428,149.29
  5. Step 5: Solve for x
    x = 418,428,149.29/23,508.01
  6. Step 6: Final answer
    x = 17,799.39

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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.