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Finding the Fourth Proportional to 18,251.77, 27,381.78 and 6,565

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Solution

The fourth proportional to 18,251.77, 27,381.78 and 6,565 is: 9,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,251.77 : 27,381.78 = 6,565 : x
  2. Step 2: Convert to fraction form
    18,251.77/27,381.78 = 6,565/x
  3. Step 3: Cross multiply
    18,251.77x = 27,381.78 × 6,565
  4. Step 4: Simplify right side
    18,251.77x = 179,761,385.70
  5. Step 5: Solve for x
    x = 179,761,385.70/18,251.77
  6. Step 6: Final answer
    x = 9,848.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.