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Finding the Fourth Proportional to 18,655.12, 25,742.03 and 10,697.14

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Solution

The fourth proportional to 18,655.12, 25,742.03 and 10,697.14 is: 14,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.12 : 25,742.03 = 10,697.14 : x
  2. Step 2: Convert to fraction form
    18,655.12/25,742.03 = 10,697.14/x
  3. Step 3: Cross multiply
    18,655.12x = 25,742.03 × 10,697.14
  4. Step 4: Simplify right side
    18,655.12x = 275,366,098.79
  5. Step 5: Solve for x
    x = 275,366,098.79/18,655.12
  6. Step 6: Final answer
    x = 14,760.89

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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.