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Finding the Fourth Proportional to 22,399, 33,516.48 and 21,197.38

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Solution

The fourth proportional to 22,399, 33,516.48 and 21,197.38 is: 31,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,399 : 33,516.48 = 21,197.38 : x
  2. Step 2: Convert to fraction form
    22,399/33,516.48 = 21,197.38/x
  3. Step 3: Cross multiply
    22,399x = 33,516.48 × 21,197.38
  4. Step 4: Simplify right side
    22,399x = 710,461,562.82
  5. Step 5: Solve for x
    x = 710,461,562.82/22,399
  6. Step 6: Final answer
    x = 31,718.45

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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.