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Finding the Fourth Proportional to 12,423.84, 18,639.04 and 7,225.28

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Solution

The fourth proportional to 12,423.84, 18,639.04 and 7,225.28 is: 10,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.84 : 18,639.04 = 7,225.28 : x
  2. Step 2: Convert to fraction form
    12,423.84/18,639.04 = 7,225.28/x
  3. Step 3: Cross multiply
    12,423.84x = 18,639.04 × 7,225.28
  4. Step 4: Simplify right side
    12,423.84x = 134,672,282.93
  5. Step 5: Solve for x
    x = 134,672,282.93/12,423.84
  6. Step 6: Final answer
    x = 10,839.83

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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.