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Finding the Fourth Proportional to 23,508.63, 32,441.85 and 12,898.31

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Solution

The fourth proportional to 23,508.63, 32,441.85 and 12,898.31 is: 17,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.63 : 32,441.85 = 12,898.31 : x
  2. Step 2: Convert to fraction form
    23,508.63/32,441.85 = 12,898.31/x
  3. Step 3: Cross multiply
    23,508.63x = 32,441.85 × 12,898.31
  4. Step 4: Simplify right side
    23,508.63x = 418,444,876.06
  5. Step 5: Solve for x
    x = 418,444,876.06/23,508.63
  6. Step 6: Final answer
    x = 17,799.63

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