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Finding the Fourth Proportional to 15,411.78, 23,117.67 and 8,833.44

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Solution

The fourth proportional to 15,411.78, 23,117.67 and 8,833.44 is: 13,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.78 : 23,117.67 = 8,833.44 : x
  2. Step 2: Convert to fraction form
    15,411.78/23,117.67 = 8,833.44/x
  3. Step 3: Cross multiply
    15,411.78x = 23,117.67 × 8,833.44
  4. Step 4: Simplify right side
    15,411.78x = 204,208,550.88
  5. Step 5: Solve for x
    x = 204,208,550.88/15,411.78
  6. Step 6: Final answer
    x = 13,250.16

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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.