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Finding the Fourth Proportional to 23,882.96, 32,959.15 and 13,810.43

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Solution

The fourth proportional to 23,882.96, 32,959.15 and 13,810.43 is: 19,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.96 : 32,959.15 = 13,810.43 : x
  2. Step 2: Convert to fraction form
    23,882.96/32,959.15 = 13,810.43/x
  3. Step 3: Cross multiply
    23,882.96x = 32,959.15 × 13,810.43
  4. Step 4: Simplify right side
    23,882.96x = 455,179,834.61
  5. Step 5: Solve for x
    x = 455,179,834.61/23,882.96
  6. Step 6: Final answer
    x = 19,058.77

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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.