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Finding the Fourth Proportional to 18,494.66, 27,742.19 and 5,347.14

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Solution

The fourth proportional to 18,494.66, 27,742.19 and 5,347.14 is: 8,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.66 : 27,742.19 = 5,347.14 : x
  2. Step 2: Convert to fraction form
    18,494.66/27,742.19 = 5,347.14/x
  3. Step 3: Cross multiply
    18,494.66x = 27,742.19 × 5,347.14
  4. Step 4: Simplify right side
    18,494.66x = 148,341,373.84
  5. Step 5: Solve for x
    x = 148,341,373.84/18,494.66
  6. Step 6: Final answer
    x = 8,020.77

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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.