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Finding the Fourth Proportional to 23,654.82, 32,643.05 and 13,043.76

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Solution

The fourth proportional to 23,654.82, 32,643.05 and 13,043.76 is: 18,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.82 : 32,643.05 = 13,043.76 : x
  2. Step 2: Convert to fraction form
    23,654.82/32,643.05 = 13,043.76/x
  3. Step 3: Cross multiply
    23,654.82x = 32,643.05 × 13,043.76
  4. Step 4: Simplify right side
    23,654.82x = 425,788,044.65
  5. Step 5: Solve for x
    x = 425,788,044.65/23,654.82
  6. Step 6: Final answer
    x = 18,000.05

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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.