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Finding the Fourth Proportional to 12,274.40, 18,392.70 and 9,139.70

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Solution

The fourth proportional to 12,274.40, 18,392.70 and 9,139.70 is: 13,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.40 : 18,392.70 = 9,139.70 : x
  2. Step 2: Convert to fraction form
    12,274.40/18,392.70 = 9,139.70/x
  3. Step 3: Cross multiply
    12,274.40x = 18,392.70 × 9,139.70
  4. Step 4: Simplify right side
    12,274.40x = 168,103,760.19
  5. Step 5: Solve for x
    x = 168,103,760.19/12,274.40
  6. Step 6: Final answer
    x = 13,695.48

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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.