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Finding the Fourth Proportional to 15,269.20, 22,855.20 and 10,895.20

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Solution

The fourth proportional to 15,269.20, 22,855.20 and 10,895.20 is: 16,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.20 : 22,855.20 = 10,895.20 : x
  2. Step 2: Convert to fraction form
    15,269.20/22,855.20 = 10,895.20/x
  3. Step 3: Cross multiply
    15,269.20x = 22,855.20 × 10,895.20
  4. Step 4: Simplify right side
    15,269.20x = 249,011,975.04
  5. Step 5: Solve for x
    x = 249,011,975.04/15,269.20
  6. Step 6: Final answer
    x = 16,308.12

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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.