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Finding the Fourth Proportional to 23,432.66, 32,337.06 and 12,822.32

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Solution

The fourth proportional to 23,432.66, 32,337.06 and 12,822.32 is: 17,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.66 : 32,337.06 = 12,822.32 : x
  2. Step 2: Convert to fraction form
    23,432.66/32,337.06 = 12,822.32/x
  3. Step 3: Cross multiply
    23,432.66x = 32,337.06 × 12,822.32
  4. Step 4: Simplify right side
    23,432.66x = 414,636,131.18
  5. Step 5: Solve for x
    x = 414,636,131.18/23,432.66
  6. Step 6: Final answer
    x = 17,694.80

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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.