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Finding the Fourth Proportional to 23,572.70, 32,531.74 and 12,963.14

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Solution

The fourth proportional to 23,572.70, 32,531.74 and 12,963.14 is: 17,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.70 : 32,531.74 = 12,963.14 : x
  2. Step 2: Convert to fraction form
    23,572.70/32,531.74 = 12,963.14/x
  3. Step 3: Cross multiply
    23,572.70x = 32,531.74 × 12,963.14
  4. Step 4: Simplify right side
    23,572.70x = 421,713,500.06
  5. Step 5: Solve for x
    x = 421,713,500.06/23,572.70
  6. Step 6: Final answer
    x = 17,889.91

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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.