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Finding the Fourth Proportional to 14,497.40, 20,006.52 and 8,209.64

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Solution

The fourth proportional to 14,497.40, 20,006.52 and 8,209.64 is: 11,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.40 : 20,006.52 = 8,209.64 : x
  2. Step 2: Convert to fraction form
    14,497.40/20,006.52 = 8,209.64/x
  3. Step 3: Cross multiply
    14,497.40x = 20,006.52 × 8,209.64
  4. Step 4: Simplify right side
    14,497.40x = 164,246,326.85
  5. Step 5: Solve for x
    x = 164,246,326.85/14,497.40
  6. Step 6: Final answer
    x = 11,329.36

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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.