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Finding the Fourth Proportional to 16,031.79, 24,034.71 and 6,678.84

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Solution

The fourth proportional to 16,031.79, 24,034.71 and 6,678.84 is: 10,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.79 : 24,034.71 = 6,678.84 : x
  2. Step 2: Convert to fraction form
    16,031.79/24,034.71 = 6,678.84/x
  3. Step 3: Cross multiply
    16,031.79x = 24,034.71 × 6,678.84
  4. Step 4: Simplify right side
    16,031.79x = 160,523,902.43
  5. Step 5: Solve for x
    x = 160,523,902.43/16,031.79
  6. Step 6: Final answer
    x = 10,012.85

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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.