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Finding the Fourth Proportional to 17,543.68, 24,215.16 and 10,830.40

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Solution

The fourth proportional to 17,543.68, 24,215.16 and 10,830.40 is: 14,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.68 : 24,215.16 = 10,830.40 : x
  2. Step 2: Convert to fraction form
    17,543.68/24,215.16 = 10,830.40/x
  3. Step 3: Cross multiply
    17,543.68x = 24,215.16 × 10,830.40
  4. Step 4: Simplify right side
    17,543.68x = 262,259,868.86
  5. Step 5: Solve for x
    x = 262,259,868.86/17,543.68
  6. Step 6: Final answer
    x = 14,948.97

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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.