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Finding the Fourth Proportional to 15,439.68, 23,154.66 and 5,049

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Solution

The fourth proportional to 15,439.68, 23,154.66 and 5,049 is: 7,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,439.68 : 23,154.66 = 5,049 : x
  2. Step 2: Convert to fraction form
    15,439.68/23,154.66 = 5,049/x
  3. Step 3: Cross multiply
    15,439.68x = 23,154.66 × 5,049
  4. Step 4: Simplify right side
    15,439.68x = 116,907,878.34
  5. Step 5: Solve for x
    x = 116,907,878.34/15,439.68
  6. Step 6: Final answer
    x = 7,571.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.