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Finding the Fourth Proportional to 22,352.64, 33,500.19 and 11,822.25

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Solution

The fourth proportional to 22,352.64, 33,500.19 and 11,822.25 is: 17,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.64 : 33,500.19 = 11,822.25 : x
  2. Step 2: Convert to fraction form
    22,352.64/33,500.19 = 11,822.25/x
  3. Step 3: Cross multiply
    22,352.64x = 33,500.19 × 11,822.25
  4. Step 4: Simplify right side
    22,352.64x = 396,047,621.23
  5. Step 5: Solve for x
    x = 396,047,621.23/22,352.64
  6. Step 6: Final answer
    x = 17,718.16

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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.