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Finding the Fourth Proportional to 22,357.32, 30,850.98 and 13,403.16

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Solution

The fourth proportional to 22,357.32, 30,850.98 and 13,403.16 is: 18,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.32 : 30,850.98 = 13,403.16 : x
  2. Step 2: Convert to fraction form
    22,357.32/30,850.98 = 13,403.16/x
  3. Step 3: Cross multiply
    22,357.32x = 30,850.98 × 13,403.16
  4. Step 4: Simplify right side
    22,357.32x = 413,500,621.10
  5. Step 5: Solve for x
    x = 413,500,621.10/22,357.32
  6. Step 6: Final answer
    x = 18,495.09

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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.