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Finding the Fourth Proportional to 17,775.40, 24,531.50 and 10,224.18

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Solution

The fourth proportional to 17,775.40, 24,531.50 and 10,224.18 is: 14,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.40 : 24,531.50 = 10,224.18 : x
  2. Step 2: Convert to fraction form
    17,775.40/24,531.50 = 10,224.18/x
  3. Step 3: Cross multiply
    17,775.40x = 24,531.50 × 10,224.18
  4. Step 4: Simplify right side
    17,775.40x = 250,814,471.67
  5. Step 5: Solve for x
    x = 250,814,471.67/17,775.40
  6. Step 6: Final answer
    x = 14,110.20

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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.