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Finding the Fourth Proportional to 22,295.16, 30,751.92 and 15,209.28

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Solution

The fourth proportional to 22,295.16, 30,751.92 and 15,209.28 is: 20,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.16 : 30,751.92 = 15,209.28 : x
  2. Step 2: Convert to fraction form
    22,295.16/30,751.92 = 15,209.28/x
  3. Step 3: Cross multiply
    22,295.16x = 30,751.92 × 15,209.28
  4. Step 4: Simplify right side
    22,295.16x = 467,714,561.82
  5. Step 5: Solve for x
    x = 467,714,561.82/22,295.16
  6. Step 6: Final answer
    x = 20,978.30

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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.