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Finding the Fourth Proportional to 22,612.28, 31,205.01 and 12,541.64

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Solution

The fourth proportional to 22,612.28, 31,205.01 and 12,541.64 is: 17,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.28 : 31,205.01 = 12,541.64 : x
  2. Step 2: Convert to fraction form
    22,612.28/31,205.01 = 12,541.64/x
  3. Step 3: Cross multiply
    22,612.28x = 31,205.01 × 12,541.64
  4. Step 4: Simplify right side
    22,612.28x = 391,361,845.59
  5. Step 5: Solve for x
    x = 391,361,845.59/22,612.28
  6. Step 6: Final answer
    x = 17,307.50

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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.