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Finding the Fourth Proportional to 26,224.68, 39,293.22 and 11,411.40

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Solution

The fourth proportional to 26,224.68, 39,293.22 and 11,411.40 is: 17,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224.68 : 39,293.22 = 11,411.40 : x
  2. Step 2: Convert to fraction form
    26,224.68/39,293.22 = 11,411.40/x
  3. Step 3: Cross multiply
    26,224.68x = 39,293.22 × 11,411.40
  4. Step 4: Simplify right side
    26,224.68x = 448,390,650.71
  5. Step 5: Solve for x
    x = 448,390,650.71/26,224.68
  6. Step 6: Final answer
    x = 17,098.04

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