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Finding the Fourth Proportional to 16,494.48, 22,756.68 and 10,895.76

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Solution

The fourth proportional to 16,494.48, 22,756.68 and 10,895.76 is: 15,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.48 : 22,756.68 = 10,895.76 : x
  2. Step 2: Convert to fraction form
    16,494.48/22,756.68 = 10,895.76/x
  3. Step 3: Cross multiply
    16,494.48x = 22,756.68 × 10,895.76
  4. Step 4: Simplify right side
    16,494.48x = 247,951,323.68
  5. Step 5: Solve for x
    x = 247,951,323.68/16,494.48
  6. Step 6: Final answer
    x = 15,032.38

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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.