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Finding the Fourth Proportional to 23,432.88, 32,337.31 and 12,822.51

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Solution

The fourth proportional to 23,432.88, 32,337.31 and 12,822.51 is: 17,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.88 : 32,337.31 = 12,822.51 : x
  2. Step 2: Convert to fraction form
    23,432.88/32,337.31 = 12,822.51/x
  3. Step 3: Cross multiply
    23,432.88x = 32,337.31 × 12,822.51
  4. Step 4: Simplify right side
    23,432.88x = 414,645,480.85
  5. Step 5: Solve for x
    x = 414,645,480.85/23,432.88
  6. Step 6: Final answer
    x = 17,695.03

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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.