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Finding the Fourth Proportional to 22,416, 30,882.56 and 17,698.56

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Solution

The fourth proportional to 22,416, 30,882.56 and 17,698.56 is: 24,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416 : 30,882.56 = 17,698.56 : x
  2. Step 2: Convert to fraction form
    22,416/30,882.56 = 17,698.56/x
  3. Step 3: Cross multiply
    22,416x = 30,882.56 × 17,698.56
  4. Step 4: Simplify right side
    22,416x = 546,576,841.11
  5. Step 5: Solve for x
    x = 546,576,841.11/22,416
  6. Step 6: Final answer
    x = 24,383.34

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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.