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Finding the Fourth Proportional to 23,874.52, 32,946.78 and 13,264.12

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Solution

The fourth proportional to 23,874.52, 32,946.78 and 13,264.12 is: 18,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.52 : 32,946.78 = 13,264.12 : x
  2. Step 2: Convert to fraction form
    23,874.52/32,946.78 = 13,264.12/x
  3. Step 3: Cross multiply
    23,874.52x = 32,946.78 × 13,264.12
  4. Step 4: Simplify right side
    23,874.52x = 437,010,043.53
  5. Step 5: Solve for x
    x = 437,010,043.53/23,874.52
  6. Step 6: Final answer
    x = 18,304.45

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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.