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Finding the Fourth Proportional to 28,053.50, 38,711.61 and 16,114.50

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Solution

The fourth proportional to 28,053.50, 38,711.61 and 16,114.50 is: 22,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,053.50 : 38,711.61 = 16,114.50 : x
  2. Step 2: Convert to fraction form
    28,053.50/38,711.61 = 16,114.50/x
  3. Step 3: Cross multiply
    28,053.50x = 38,711.61 × 16,114.50
  4. Step 4: Simplify right side
    28,053.50x = 623,818,239.35
  5. Step 5: Solve for x
    x = 623,818,239.35/28,053.50
  6. Step 6: Final answer
    x = 22,236.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.