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Finding the Fourth Proportional to 15,106, 22,660.74 and 4,012.84

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Solution

The fourth proportional to 15,106, 22,660.74 and 4,012.84 is: 6,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106 : 22,660.74 = 4,012.84 : x
  2. Step 2: Convert to fraction form
    15,106/22,660.74 = 4,012.84/x
  3. Step 3: Cross multiply
    15,106x = 22,660.74 × 4,012.84
  4. Step 4: Simplify right side
    15,106x = 90,933,923.90
  5. Step 5: Solve for x
    x = 90,933,923.90/15,106
  6. Step 6: Final answer
    x = 6,019.72

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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.