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Finding the Fourth Proportional to 31,407.29, 43,341.57 and 17,259.83

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Solution

The fourth proportional to 31,407.29, 43,341.57 and 17,259.83 is: 23,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.29 : 43,341.57 = 17,259.83 : x
  2. Step 2: Convert to fraction form
    31,407.29/43,341.57 = 17,259.83/x
  3. Step 3: Cross multiply
    31,407.29x = 43,341.57 × 17,259.83
  4. Step 4: Simplify right side
    31,407.29x = 748,068,130.13
  5. Step 5: Solve for x
    x = 748,068,130.13/31,407.29
  6. Step 6: Final answer
    x = 23,818.30

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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.