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Finding the Fourth Proportional to 22,612.64, 31,205.51 and 12,542.00

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Solution

The fourth proportional to 22,612.64, 31,205.51 and 12,542.00 is: 17,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.64 : 31,205.51 = 12,542.00 : x
  2. Step 2: Convert to fraction form
    22,612.64/31,205.51 = 12,542.00/x
  3. Step 3: Cross multiply
    22,612.64x = 31,205.51 × 12,542.00
  4. Step 4: Simplify right side
    22,612.64x = 391,379,287.68
  5. Step 5: Solve for x
    x = 391,379,287.68/22,612.64
  6. Step 6: Final answer
    x = 17,307.99

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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.