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Finding the Fourth Proportional to 26,833.71, 40,261.96 and 14,350.50

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Solution

The fourth proportional to 26,833.71, 40,261.96 and 14,350.50 is: 21,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,833.71 : 40,261.96 = 14,350.50 : x
  2. Step 2: Convert to fraction form
    26,833.71/40,261.96 = 14,350.50/x
  3. Step 3: Cross multiply
    26,833.71x = 40,261.96 × 14,350.50
  4. Step 4: Simplify right side
    26,833.71x = 577,779,274.92
  5. Step 5: Solve for x
    x = 577,779,274.92/26,833.71
  6. Step 6: Final answer
    x = 21,531.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.