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Finding the Fourth Proportional to 16,300.36, 24,432.88 and 7,986

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Solution

The fourth proportional to 16,300.36, 24,432.88 and 7,986 is: 11,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.36 : 24,432.88 = 7,986 : x
  2. Step 2: Convert to fraction form
    16,300.36/24,432.88 = 7,986/x
  3. Step 3: Cross multiply
    16,300.36x = 24,432.88 × 7,986
  4. Step 4: Simplify right side
    16,300.36x = 195,120,979.68
  5. Step 5: Solve for x
    x = 195,120,979.68/16,300.36
  6. Step 6: Final answer
    x = 11,970.35

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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.