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Finding the Fourth Proportional to 22,253.64, 30,707 and 13,299.24

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Solution

The fourth proportional to 22,253.64, 30,707 and 13,299.24 is: 18,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.64 : 30,707 = 13,299.24 : x
  2. Step 2: Convert to fraction form
    22,253.64/30,707 = 13,299.24/x
  3. Step 3: Cross multiply
    22,253.64x = 30,707 × 13,299.24
  4. Step 4: Simplify right side
    22,253.64x = 408,379,762.68
  5. Step 5: Solve for x
    x = 408,379,762.68/22,253.64
  6. Step 6: Final answer
    x = 18,351.14

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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.