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Finding the Fourth Proportional to 21,972.52, 32,963.02 and 7,177.46

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Solution

The fourth proportional to 21,972.52, 32,963.02 and 7,177.46 is: 10,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.52 : 32,963.02 = 7,177.46 : x
  2. Step 2: Convert to fraction form
    21,972.52/32,963.02 = 7,177.46/x
  3. Step 3: Cross multiply
    21,972.52x = 32,963.02 × 7,177.46
  4. Step 4: Simplify right side
    21,972.52x = 236,590,757.53
  5. Step 5: Solve for x
    x = 236,590,757.53/21,972.52
  6. Step 6: Final answer
    x = 10,767.58

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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.