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Finding the Fourth Proportional to 23,432.63, 32,337.09 and 12,822.17

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Solution

The fourth proportional to 23,432.63, 32,337.09 and 12,822.17 is: 17,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.63 : 32,337.09 = 12,822.17 : x
  2. Step 2: Convert to fraction form
    23,432.63/32,337.09 = 12,822.17/x
  3. Step 3: Cross multiply
    23,432.63x = 32,337.09 × 12,822.17
  4. Step 4: Simplify right side
    23,432.63x = 414,631,503.60
  5. Step 5: Solve for x
    x = 414,631,503.60/23,432.63
  6. Step 6: Final answer
    x = 17,694.62

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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.