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Finding the Fourth Proportional to 16,284.70, 24,428.67 and 5,042.71

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Solution

The fourth proportional to 16,284.70, 24,428.67 and 5,042.71 is: 7,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.70 : 24,428.67 = 5,042.71 : x
  2. Step 2: Convert to fraction form
    16,284.70/24,428.67 = 5,042.71/x
  3. Step 3: Cross multiply
    16,284.70x = 24,428.67 × 5,042.71
  4. Step 4: Simplify right side
    16,284.70x = 123,186,698.50
  5. Step 5: Solve for x
    x = 123,186,698.50/16,284.70
  6. Step 6: Final answer
    x = 7,564.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.