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Finding the Fourth Proportional to 23,887.84, 32,963 and 13,275.42

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Solution

The fourth proportional to 23,887.84, 32,963 and 13,275.42 is: 18,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.84 : 32,963 = 13,275.42 : x
  2. Step 2: Convert to fraction form
    23,887.84/32,963 = 13,275.42/x
  3. Step 3: Cross multiply
    23,887.84x = 32,963 × 13,275.42
  4. Step 4: Simplify right side
    23,887.84x = 437,597,669.46
  5. Step 5: Solve for x
    x = 437,597,669.46/23,887.84
  6. Step 6: Final answer
    x = 18,318.85

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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.