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Finding the Fourth Proportional to 15,074.11, 22,606.55 and 10,424

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Solution

The fourth proportional to 15,074.11, 22,606.55 and 10,424 is: 15,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.11 : 22,606.55 = 10,424 : x
  2. Step 2: Convert to fraction form
    15,074.11/22,606.55 = 10,424/x
  3. Step 3: Cross multiply
    15,074.11x = 22,606.55 × 10,424
  4. Step 4: Simplify right side
    15,074.11x = 235,650,677.20
  5. Step 5: Solve for x
    x = 235,650,677.20/15,074.11
  6. Step 6: Final answer
    x = 15,632.81

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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.