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Finding the Fourth Proportional to 22,539.70, 31,103.50 and 12,467.47

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Solution

The fourth proportional to 22,539.70, 31,103.50 and 12,467.47 is: 17,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.70 : 31,103.50 = 12,467.47 : x
  2. Step 2: Convert to fraction form
    22,539.70/31,103.50 = 12,467.47/x
  3. Step 3: Cross multiply
    22,539.70x = 31,103.50 × 12,467.47
  4. Step 4: Simplify right side
    22,539.70x = 387,781,953.15
  5. Step 5: Solve for x
    x = 387,781,953.15/22,539.70
  6. Step 6: Final answer
    x = 17,204.40

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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.