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Finding the Fourth Proportional to 22,612.25, 31,204.98 and 12,541.62

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Solution

The fourth proportional to 22,612.25, 31,204.98 and 12,541.62 is: 17,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.25 : 31,204.98 = 12,541.62 : x
  2. Step 2: Convert to fraction form
    22,612.25/31,204.98 = 12,541.62/x
  3. Step 3: Cross multiply
    22,612.25x = 31,204.98 × 12,541.62
  4. Step 4: Simplify right side
    22,612.25x = 391,361,001.27
  5. Step 5: Solve for x
    x = 391,361,001.27/22,612.25
  6. Step 6: Final answer
    x = 17,307.48

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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.