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Finding the Fourth Proportional to 15,174.80, 22,810.80 and 10,822.40

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Solution

The fourth proportional to 15,174.80, 22,810.80 and 10,822.40 is: 16,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.80 : 22,810.80 = 10,822.40 : x
  2. Step 2: Convert to fraction form
    15,174.80/22,810.80 = 10,822.40/x
  3. Step 3: Cross multiply
    15,174.80x = 22,810.80 × 10,822.40
  4. Step 4: Simplify right side
    15,174.80x = 246,867,601.92
  5. Step 5: Solve for x
    x = 246,867,601.92/15,174.80
  6. Step 6: Final answer
    x = 16,268.26

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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.