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Finding the Fourth Proportional to 21,877.76, 32,767.38 and 15,333.17

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Solution

The fourth proportional to 21,877.76, 32,767.38 and 15,333.17 is: 22,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.76 : 32,767.38 = 15,333.17 : x
  2. Step 2: Convert to fraction form
    21,877.76/32,767.38 = 15,333.17/x
  3. Step 3: Cross multiply
    21,877.76x = 32,767.38 × 15,333.17
  4. Step 4: Simplify right side
    21,877.76x = 502,427,807.99
  5. Step 5: Solve for x
    x = 502,427,807.99/21,877.76
  6. Step 6: Final answer
    x = 22,965.23

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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.