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Finding the Fourth Proportional to 26,616.32, 39,931.32 and 9,976.58

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Solution

The fourth proportional to 26,616.32, 39,931.32 and 9,976.58 is: 14,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,616.32 : 39,931.32 = 9,976.58 : x
  2. Step 2: Convert to fraction form
    26,616.32/39,931.32 = 9,976.58/x
  3. Step 3: Cross multiply
    26,616.32x = 39,931.32 × 9,976.58
  4. Step 4: Simplify right side
    26,616.32x = 398,378,008.49
  5. Step 5: Solve for x
    x = 398,378,008.49/26,616.32
  6. Step 6: Final answer
    x = 14,967.43

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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.