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Finding the Fourth Proportional to 17,778.34, 24,534.12 and 9,820.90

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Solution

The fourth proportional to 17,778.34, 24,534.12 and 9,820.90 is: 13,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.34 : 24,534.12 = 9,820.90 : x
  2. Step 2: Convert to fraction form
    17,778.34/24,534.12 = 9,820.90/x
  3. Step 3: Cross multiply
    17,778.34x = 24,534.12 × 9,820.90
  4. Step 4: Simplify right side
    17,778.34x = 240,947,139.11
  5. Step 5: Solve for x
    x = 240,947,139.11/17,778.34
  6. Step 6: Final answer
    x = 13,552.85

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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.