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Finding the Fourth Proportional to 22,686.64, 31,308.24 and 13,735.78

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Solution

The fourth proportional to 22,686.64, 31,308.24 and 13,735.78 is: 18,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.64 : 31,308.24 = 13,735.78 : x
  2. Step 2: Convert to fraction form
    22,686.64/31,308.24 = 13,735.78/x
  3. Step 3: Cross multiply
    22,686.64x = 31,308.24 × 13,735.78
  4. Step 4: Simplify right side
    22,686.64x = 430,043,096.83
  5. Step 5: Solve for x
    x = 430,043,096.83/22,686.64
  6. Step 6: Final answer
    x = 18,955.79

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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.