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Finding the Fourth Proportional to 22,248, 30,707.48 and 13,299.52

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Solution

The fourth proportional to 22,248, 30,707.48 and 13,299.52 is: 18,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,248 : 30,707.48 = 13,299.52 : x
  2. Step 2: Convert to fraction form
    22,248/30,707.48 = 13,299.52/x
  3. Step 3: Cross multiply
    22,248x = 30,707.48 × 13,299.52
  4. Step 4: Simplify right side
    22,248x = 408,394,744.41
  5. Step 5: Solve for x
    x = 408,394,744.41/22,248
  6. Step 6: Final answer
    x = 18,356.47

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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.