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Finding the Fourth Proportional to 12,964.20, 19,465.74 and 7,423.80

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Solution

The fourth proportional to 12,964.20, 19,465.74 and 7,423.80 is: 11,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.20 : 19,465.74 = 7,423.80 : x
  2. Step 2: Convert to fraction form
    12,964.20/19,465.74 = 7,423.80/x
  3. Step 3: Cross multiply
    12,964.20x = 19,465.74 × 7,423.80
  4. Step 4: Simplify right side
    12,964.20x = 144,509,760.61
  5. Step 5: Solve for x
    x = 144,509,760.61/12,964.20
  6. Step 6: Final answer
    x = 11,146.83

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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.