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Finding the Fourth Proportional to 17,825.64, 24,600.12 and 9,867.72

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Solution

The fourth proportional to 17,825.64, 24,600.12 and 9,867.72 is: 13,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.64 : 24,600.12 = 9,867.72 : x
  2. Step 2: Convert to fraction form
    17,825.64/24,600.12 = 9,867.72/x
  3. Step 3: Cross multiply
    17,825.64x = 24,600.12 × 9,867.72
  4. Step 4: Simplify right side
    17,825.64x = 242,747,096.13
  5. Step 5: Solve for x
    x = 242,747,096.13/17,825.64
  6. Step 6: Final answer
    x = 13,617.86

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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.