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Finding the Fourth Proportional to 12,363.92, 17,068.20 and 8,176.40

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Solution

The fourth proportional to 12,363.92, 17,068.20 and 8,176.40 is: 11,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.92 : 17,068.20 = 8,176.40 : x
  2. Step 2: Convert to fraction form
    12,363.92/17,068.20 = 8,176.40/x
  3. Step 3: Cross multiply
    12,363.92x = 17,068.20 × 8,176.40
  4. Step 4: Simplify right side
    12,363.92x = 139,556,430.48
  5. Step 5: Solve for x
    x = 139,556,430.48/12,363.92
  6. Step 6: Final answer
    x = 11,287.39

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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.