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Finding the Fourth Proportional to 15,283.20, 22,876.20 and 10,909.20

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Solution

The fourth proportional to 15,283.20, 22,876.20 and 10,909.20 is: 16,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.20 : 22,876.20 = 10,909.20 : x
  2. Step 2: Convert to fraction form
    15,283.20/22,876.20 = 10,909.20/x
  3. Step 3: Cross multiply
    15,283.20x = 22,876.20 × 10,909.20
  4. Step 4: Simplify right side
    15,283.20x = 249,561,041.04
  5. Step 5: Solve for x
    x = 249,561,041.04/15,283.20
  6. Step 6: Final answer
    x = 16,329.11

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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.