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Finding the Fourth Proportional to 15,387.99, 23,042.58 and 12,272.50

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Solution

The fourth proportional to 15,387.99, 23,042.58 and 12,272.50 is: 18,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387.99 : 23,042.58 = 12,272.50 : x
  2. Step 2: Convert to fraction form
    15,387.99/23,042.58 = 12,272.50/x
  3. Step 3: Cross multiply
    15,387.99x = 23,042.58 × 12,272.50
  4. Step 4: Simplify right side
    15,387.99x = 282,790,063.05
  5. Step 5: Solve for x
    x = 282,790,063.05/15,387.99
  6. Step 6: Final answer
    x = 18,377.32

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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.