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Finding the Fourth Proportional to 22,783.26, 31,442.10 and 13,354.86

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Solution

The fourth proportional to 22,783.26, 31,442.10 and 13,354.86 is: 18,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.26 : 31,442.10 = 13,354.86 : x
  2. Step 2: Convert to fraction form
    22,783.26/31,442.10 = 13,354.86/x
  3. Step 3: Cross multiply
    22,783.26x = 31,442.10 × 13,354.86
  4. Step 4: Simplify right side
    22,783.26x = 419,904,843.61
  5. Step 5: Solve for x
    x = 419,904,843.61/22,783.26
  6. Step 6: Final answer
    x = 18,430.41

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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.