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Finding the Fourth Proportional to 17,819.64, 24,589.42 and 10,648.12

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Solution

The fourth proportional to 17,819.64, 24,589.42 and 10,648.12 is: 14,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.64 : 24,589.42 = 10,648.12 : x
  2. Step 2: Convert to fraction form
    17,819.64/24,589.42 = 10,648.12/x
  3. Step 3: Cross multiply
    17,819.64x = 24,589.42 × 10,648.12
  4. Step 4: Simplify right side
    17,819.64x = 261,831,094.89
  5. Step 5: Solve for x
    x = 261,831,094.89/17,819.64
  6. Step 6: Final answer
    x = 14,693.40

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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.