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Finding the Fourth Proportional to 26,358.12, 39,527.46 and 9,713.88

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Solution

The fourth proportional to 26,358.12, 39,527.46 and 9,713.88 is: 14,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.12 : 39,527.46 = 9,713.88 : x
  2. Step 2: Convert to fraction form
    26,358.12/39,527.46 = 9,713.88/x
  3. Step 3: Cross multiply
    26,358.12x = 39,527.46 × 9,713.88
  4. Step 4: Simplify right side
    26,358.12x = 383,965,003.14
  5. Step 5: Solve for x
    x = 383,965,003.14/26,358.12
  6. Step 6: Final answer
    x = 14,567.24

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