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Finding the Fourth Proportional to 17,840.72, 24,620.88 and 9,882.78

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Solution

The fourth proportional to 17,840.72, 24,620.88 and 9,882.78 is: 13,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.72 : 24,620.88 = 9,882.78 : x
  2. Step 2: Convert to fraction form
    17,840.72/24,620.88 = 9,882.78/x
  3. Step 3: Cross multiply
    17,840.72x = 24,620.88 × 9,882.78
  4. Step 4: Simplify right side
    17,840.72x = 243,322,740.45
  5. Step 5: Solve for x
    x = 243,322,740.45/17,840.72
  6. Step 6: Final answer
    x = 13,638.62

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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.