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Finding the Fourth Proportional to 12,306.64, 18,437.67 and 5,648.69

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Solution

The fourth proportional to 12,306.64, 18,437.67 and 5,648.69 is: 8,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.64 : 18,437.67 = 5,648.69 : x
  2. Step 2: Convert to fraction form
    12,306.64/18,437.67 = 5,648.69/x
  3. Step 3: Cross multiply
    12,306.64x = 18,437.67 × 5,648.69
  4. Step 4: Simplify right side
    12,306.64x = 104,148,728.25
  5. Step 5: Solve for x
    x = 104,148,728.25/12,306.64
  6. Step 6: Final answer
    x = 8,462.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.