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Finding the Fourth Proportional to 17,712.80, 26,569.20 and 9,520.80

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Solution

The fourth proportional to 17,712.80, 26,569.20 and 9,520.80 is: 14,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.80 : 26,569.20 = 9,520.80 : x
  2. Step 2: Convert to fraction form
    17,712.80/26,569.20 = 9,520.80/x
  3. Step 3: Cross multiply
    17,712.80x = 26,569.20 × 9,520.80
  4. Step 4: Simplify right side
    17,712.80x = 252,960,039.36
  5. Step 5: Solve for x
    x = 252,960,039.36/17,712.80
  6. Step 6: Final answer
    x = 14,281.20

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1.5x scale

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.