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Finding the Fourth Proportional to 22,864.68, 31,564.05 and 17,201.60

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Solution

The fourth proportional to 22,864.68, 31,564.05 and 17,201.60 is: 23,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.68 : 31,564.05 = 17,201.60 : x
  2. Step 2: Convert to fraction form
    22,864.68/31,564.05 = 17,201.60/x
  3. Step 3: Cross multiply
    22,864.68x = 31,564.05 × 17,201.60
  4. Step 4: Simplify right side
    22,864.68x = 542,952,004.66
  5. Step 5: Solve for x
    x = 542,952,004.66/22,864.68
  6. Step 6: Final answer
    x = 23,746.32

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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.