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Finding the Fourth Proportional to 12,458.40, 18,689.76 and 4,138.80

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Solution

The fourth proportional to 12,458.40, 18,689.76 and 4,138.80 is: 6,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.40 : 18,689.76 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    12,458.40/18,689.76 = 4,138.80/x
  3. Step 3: Cross multiply
    12,458.40x = 18,689.76 × 4,138.80
  4. Step 4: Simplify right side
    12,458.40x = 77,353,178.69
  5. Step 5: Solve for x
    x = 77,353,178.69/12,458.40
  6. Step 6: Final answer
    x = 6,208.92

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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.