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Finding the Fourth Proportional to 14,497.52, 20,006.07 and 8,209.76

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Solution

The fourth proportional to 14,497.52, 20,006.07 and 8,209.76 is: 11,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.52 : 20,006.07 = 8,209.76 : x
  2. Step 2: Convert to fraction form
    14,497.52/20,006.07 = 8,209.76/x
  3. Step 3: Cross multiply
    14,497.52x = 20,006.07 × 8,209.76
  4. Step 4: Simplify right side
    14,497.52x = 164,245,033.24
  5. Step 5: Solve for x
    x = 164,245,033.24/14,497.52
  6. Step 6: Final answer
    x = 11,329.18

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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.