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Finding the Fourth Proportional to 26,009.80, 38,938.12 and 16,117.24

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Solution

The fourth proportional to 26,009.80, 38,938.12 and 16,117.24 is: 24,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009.80 : 38,938.12 = 16,117.24 : x
  2. Step 2: Convert to fraction form
    26,009.80/38,938.12 = 16,117.24/x
  3. Step 3: Cross multiply
    26,009.80x = 38,938.12 × 16,117.24
  4. Step 4: Simplify right side
    26,009.80x = 627,575,025.19
  5. Step 5: Solve for x
    x = 627,575,025.19/26,009.80
  6. Step 6: Final answer
    x = 24,128.41

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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.