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Finding the Fourth Proportional to 22,245.72, 30,698.34 and 13,291.14

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Solution

The fourth proportional to 22,245.72, 30,698.34 and 13,291.14 is: 18,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245.72 : 30,698.34 = 13,291.14 : x
  2. Step 2: Convert to fraction form
    22,245.72/30,698.34 = 13,291.14/x
  3. Step 3: Cross multiply
    22,245.72x = 30,698.34 × 13,291.14
  4. Step 4: Simplify right side
    22,245.72x = 408,015,934.71
  5. Step 5: Solve for x
    x = 408,015,934.71/22,245.72
  6. Step 6: Final answer
    x = 18,341.32

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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.