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Finding the Fourth Proportional to 26,001.52, 35,882.07 and 14,671

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Solution

The fourth proportional to 26,001.52, 35,882.07 and 14,671 is: 20,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001.52 : 35,882.07 = 14,671 : x
  2. Step 2: Convert to fraction form
    26,001.52/35,882.07 = 14,671/x
  3. Step 3: Cross multiply
    26,001.52x = 35,882.07 × 14,671
  4. Step 4: Simplify right side
    26,001.52x = 526,425,848.97
  5. Step 5: Solve for x
    x = 526,425,848.97/26,001.52
  6. Step 6: Final answer
    x = 20,245.96

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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.