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Finding the Fourth Proportional to 12,065.66, 18,098.85 and 4,567.58

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Solution

The fourth proportional to 12,065.66, 18,098.85 and 4,567.58 is: 6,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.66 : 18,098.85 = 4,567.58 : x
  2. Step 2: Convert to fraction form
    12,065.66/18,098.85 = 4,567.58/x
  3. Step 3: Cross multiply
    12,065.66x = 18,098.85 × 4,567.58
  4. Step 4: Simplify right side
    12,065.66x = 82,667,945.28
  5. Step 5: Solve for x
    x = 82,667,945.28/12,065.66
  6. Step 6: Final answer
    x = 6,851.51

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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.