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Finding the Fourth Proportional to 19,332.14, 28,991.14 and 8,239.95

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Solution

The fourth proportional to 19,332.14, 28,991.14 and 8,239.95 is: 12,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,332.14 : 28,991.14 = 8,239.95 : x
  2. Step 2: Convert to fraction form
    19,332.14/28,991.14 = 8,239.95/x
  3. Step 3: Cross multiply
    19,332.14x = 28,991.14 × 8,239.95
  4. Step 4: Simplify right side
    19,332.14x = 238,885,523.44
  5. Step 5: Solve for x
    x = 238,885,523.44/19,332.14
  6. Step 6: Final answer
    x = 12,356.91

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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.