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Finding the Fourth Proportional to 17,820.05, 24,592.05 and 9,862.82

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Solution

The fourth proportional to 17,820.05, 24,592.05 and 9,862.82 is: 13,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.05 : 24,592.05 = 9,862.82 : x
  2. Step 2: Convert to fraction form
    17,820.05/24,592.05 = 9,862.82/x
  3. Step 3: Cross multiply
    17,820.05x = 24,592.05 × 9,862.82
  4. Step 4: Simplify right side
    17,820.05x = 242,546,839.62
  5. Step 5: Solve for x
    x = 242,546,839.62/17,820.05
  6. Step 6: Final answer
    x = 13,610.90

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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.