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Finding the Fourth Proportional to 26,381.64, 39,592.52 and 9,757.40

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Solution

The fourth proportional to 26,381.64, 39,592.52 and 9,757.40 is: 14,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.64 : 39,592.52 = 9,757.40 : x
  2. Step 2: Convert to fraction form
    26,381.64/39,592.52 = 9,757.40/x
  3. Step 3: Cross multiply
    26,381.64x = 39,592.52 × 9,757.40
  4. Step 4: Simplify right side
    26,381.64x = 386,320,054.65
  5. Step 5: Solve for x
    x = 386,320,054.65/26,381.64
  6. Step 6: Final answer
    x = 14,643.52

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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.