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Finding the Fourth Proportional to 12,812.16, 17,684.16 and 8,833.92

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Solution

The fourth proportional to 12,812.16, 17,684.16 and 8,833.92 is: 12,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.16 : 17,684.16 = 8,833.92 : x
  2. Step 2: Convert to fraction form
    12,812.16/17,684.16 = 8,833.92/x
  3. Step 3: Cross multiply
    12,812.16x = 17,684.16 × 8,833.92
  4. Step 4: Simplify right side
    12,812.16x = 156,220,454.71
  5. Step 5: Solve for x
    x = 156,220,454.71/12,812.16
  6. Step 6: Final answer
    x = 12,193.14

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1.5x scale

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.