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Finding the Fourth Proportional to 16,311.96, 24,464.70 and 7,988.40

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Solution

The fourth proportional to 16,311.96, 24,464.70 and 7,988.40 is: 11,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.96 : 24,464.70 = 7,988.40 : x
  2. Step 2: Convert to fraction form
    16,311.96/24,464.70 = 7,988.40/x
  3. Step 3: Cross multiply
    16,311.96x = 24,464.70 × 7,988.40
  4. Step 4: Simplify right side
    16,311.96x = 195,433,809.48
  5. Step 5: Solve for x
    x = 195,433,809.48/16,311.96
  6. Step 6: Final answer
    x = 11,981.01

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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.