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Finding the Fourth Proportional to 23,283.92, 32,130.85 and 13,212.14

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Solution

The fourth proportional to 23,283.92, 32,130.85 and 13,212.14 is: 18,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.92 : 32,130.85 = 13,212.14 : x
  2. Step 2: Convert to fraction form
    23,283.92/32,130.85 = 13,212.14/x
  3. Step 3: Cross multiply
    23,283.92x = 32,130.85 × 13,212.14
  4. Step 4: Simplify right side
    23,283.92x = 424,517,335.82
  5. Step 5: Solve for x
    x = 424,517,335.82/23,283.92
  6. Step 6: Final answer
    x = 18,232.21

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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.