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Finding the Fourth Proportional to 12,438.54, 18,653.04 and 4,117.14

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Solution

The fourth proportional to 12,438.54, 18,653.04 and 4,117.14 is: 6,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.54 : 18,653.04 = 4,117.14 : x
  2. Step 2: Convert to fraction form
    12,438.54/18,653.04 = 4,117.14/x
  3. Step 3: Cross multiply
    12,438.54x = 18,653.04 × 4,117.14
  4. Step 4: Simplify right side
    12,438.54x = 76,797,177.11
  5. Step 5: Solve for x
    x = 76,797,177.11/12,438.54
  6. Step 6: Final answer
    x = 6,174.13

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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.