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Finding the Fourth Proportional to 17,820.68, 24,591.52 and 9,862.44

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Solution

The fourth proportional to 17,820.68, 24,591.52 and 9,862.44 is: 13,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.68 : 24,591.52 = 9,862.44 : x
  2. Step 2: Convert to fraction form
    17,820.68/24,591.52 = 9,862.44/x
  3. Step 3: Cross multiply
    17,820.68x = 24,591.52 × 9,862.44
  4. Step 4: Simplify right side
    17,820.68x = 242,532,390.51
  5. Step 5: Solve for x
    x = 242,532,390.51/17,820.68
  6. Step 6: Final answer
    x = 13,609.60

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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.