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Finding the Fourth Proportional to 28,198.69, 42,269.88 and 14,115.72

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Solution

The fourth proportional to 28,198.69, 42,269.88 and 14,115.72 is: 21,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.69 : 42,269.88 = 14,115.72 : x
  2. Step 2: Convert to fraction form
    28,198.69/42,269.88 = 14,115.72/x
  3. Step 3: Cross multiply
    28,198.69x = 42,269.88 × 14,115.72
  4. Step 4: Simplify right side
    28,198.69x = 596,670,001.96
  5. Step 5: Solve for x
    x = 596,670,001.96/28,198.69
  6. Step 6: Final answer
    x = 21,159.50

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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.