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Finding the Fourth Proportional to 26,342, 39,528.52 and 9,713.64

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Solution

The fourth proportional to 26,342, 39,528.52 and 9,713.64 is: 14,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,342 : 39,528.52 = 9,713.64 : x
  2. Step 2: Convert to fraction form
    26,342/39,528.52 = 9,713.64/x
  3. Step 3: Cross multiply
    26,342x = 39,528.52 × 9,713.64
  4. Step 4: Simplify right side
    26,342x = 383,965,813.01
  5. Step 5: Solve for x
    x = 383,965,813.01/26,342
  6. Step 6: Final answer
    x = 14,576.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.