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Finding the Fourth Proportional to 22,715.78, 31,347.77 and 12,644.00

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Solution

The fourth proportional to 22,715.78, 31,347.77 and 12,644.00 is: 17,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.78 : 31,347.77 = 12,644.00 : x
  2. Step 2: Convert to fraction form
    22,715.78/31,347.77 = 12,644.00/x
  3. Step 3: Cross multiply
    22,715.78x = 31,347.77 × 12,644.00
  4. Step 4: Simplify right side
    22,715.78x = 396,361,313.86
  5. Step 5: Solve for x
    x = 396,361,313.86/22,715.78
  6. Step 6: Final answer
    x = 17,448.72

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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.