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Finding the Fourth Proportional to 22,632.32, 31,234.08 and 12,560.80

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Solution

The fourth proportional to 22,632.32, 31,234.08 and 12,560.80 is: 17,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.32 : 31,234.08 = 12,560.80 : x
  2. Step 2: Convert to fraction form
    22,632.32/31,234.08 = 12,560.80/x
  3. Step 3: Cross multiply
    22,632.32x = 31,234.08 × 12,560.80
  4. Step 4: Simplify right side
    22,632.32x = 392,325,032.06
  5. Step 5: Solve for x
    x = 392,325,032.06/22,632.32
  6. Step 6: Final answer
    x = 17,334.72

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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.