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Finding the Fourth Proportional to 16,074, 24,114.72 and 8,678.40

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Solution

The fourth proportional to 16,074, 24,114.72 and 8,678.40 is: 13,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 24,114.72 = 8,678.40 : x
  2. Step 2: Convert to fraction form
    16,074/24,114.72 = 8,678.40/x
  3. Step 3: Cross multiply
    16,074x = 24,114.72 × 8,678.40
  4. Step 4: Simplify right side
    16,074x = 209,277,186.05
  5. Step 5: Solve for x
    x = 209,277,186.05/16,074
  6. Step 6: Final answer
    x = 13,019.61

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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.