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Finding the Fourth Proportional to 23,432.22, 32,335.11 and 12,822.06

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Solution

The fourth proportional to 23,432.22, 32,335.11 and 12,822.06 is: 17,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.22 : 32,335.11 = 12,822.06 : x
  2. Step 2: Convert to fraction form
    23,432.22/32,335.11 = 12,822.06/x
  3. Step 3: Cross multiply
    23,432.22x = 32,335.11 × 12,822.06
  4. Step 4: Simplify right side
    23,432.22x = 414,602,720.53
  5. Step 5: Solve for x
    x = 414,602,720.53/23,432.22
  6. Step 6: Final answer
    x = 17,693.70

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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.