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Finding the Fourth Proportional to 31,407.66, 43,342.02 and 17,260.20

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Solution

The fourth proportional to 31,407.66, 43,342.02 and 17,260.20 is: 23,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.66 : 43,342.02 = 17,260.20 : x
  2. Step 2: Convert to fraction form
    31,407.66/43,342.02 = 17,260.20/x
  3. Step 3: Cross multiply
    31,407.66x = 43,342.02 × 17,260.20
  4. Step 4: Simplify right side
    31,407.66x = 748,091,933.60
  5. Step 5: Solve for x
    x = 748,091,933.60/31,407.66
  6. Step 6: Final answer
    x = 23,818.77

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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.