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Finding the Fourth Proportional to 22,176.76, 30,608.94 and 15,106

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Solution

The fourth proportional to 22,176.76, 30,608.94 and 15,106 is: 20,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.76 : 30,608.94 = 15,106 : x
  2. Step 2: Convert to fraction form
    22,176.76/30,608.94 = 15,106/x
  3. Step 3: Cross multiply
    22,176.76x = 30,608.94 × 15,106
  4. Step 4: Simplify right side
    22,176.76x = 462,378,647.64
  5. Step 5: Solve for x
    x = 462,378,647.64/22,176.76
  6. Step 6: Final answer
    x = 20,849.69

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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.