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Finding the Fourth Proportional to 15,176.80, 22,813.80 and 10,824.40

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Solution

The fourth proportional to 15,176.80, 22,813.80 and 10,824.40 is: 16,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.80 : 22,813.80 = 10,824.40 : x
  2. Step 2: Convert to fraction form
    15,176.80/22,813.80 = 10,824.40/x
  3. Step 3: Cross multiply
    15,176.80x = 22,813.80 × 10,824.40
  4. Step 4: Simplify right side
    15,176.80x = 246,945,696.72
  5. Step 5: Solve for x
    x = 246,945,696.72/15,176.80
  6. Step 6: Final answer
    x = 16,271.26

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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.