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Finding the Fourth Proportional to 16,213.86, 24,320.79 and 9,283.50

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Solution

The fourth proportional to 16,213.86, 24,320.79 and 9,283.50 is: 13,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.86 : 24,320.79 = 9,283.50 : x
  2. Step 2: Convert to fraction form
    16,213.86/24,320.79 = 9,283.50/x
  3. Step 3: Cross multiply
    16,213.86x = 24,320.79 × 9,283.50
  4. Step 4: Simplify right side
    16,213.86x = 225,782,053.97
  5. Step 5: Solve for x
    x = 225,782,053.97/16,213.86
  6. Step 6: Final answer
    x = 13,925.25

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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.