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Finding the Fourth Proportional to 26,587.32, 39,905.64 and 13,449

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Solution

The fourth proportional to 26,587.32, 39,905.64 and 13,449 is: 20,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,587.32 : 39,905.64 = 13,449 : x
  2. Step 2: Convert to fraction form
    26,587.32/39,905.64 = 13,449/x
  3. Step 3: Cross multiply
    26,587.32x = 39,905.64 × 13,449
  4. Step 4: Simplify right side
    26,587.32x = 536,690,952.36
  5. Step 5: Solve for x
    x = 536,690,952.36/26,587.32
  6. Step 6: Final answer
    x = 20,185.97

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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.