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Finding the Fourth Proportional to 22,842.54, 31,521.42 and 12,632.98

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Solution

The fourth proportional to 22,842.54, 31,521.42 and 12,632.98 is: 17,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.54 : 31,521.42 = 12,632.98 : x
  2. Step 2: Convert to fraction form
    22,842.54/31,521.42 = 12,632.98/x
  3. Step 3: Cross multiply
    22,842.54x = 31,521.42 × 12,632.98
  4. Step 4: Simplify right side
    22,842.54x = 398,209,468.43
  5. Step 5: Solve for x
    x = 398,209,468.43/22,842.54
  6. Step 6: Final answer
    x = 17,432.80

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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.