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Finding the Fourth Proportional to 16,148.79, 24,228 and 5,056.65

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Solution

The fourth proportional to 16,148.79, 24,228 and 5,056.65 is: 7,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.79 : 24,228 = 5,056.65 : x
  2. Step 2: Convert to fraction form
    16,148.79/24,228 = 5,056.65/x
  3. Step 3: Cross multiply
    16,148.79x = 24,228 × 5,056.65
  4. Step 4: Simplify right side
    16,148.79x = 122,512,516.20
  5. Step 5: Solve for x
    x = 122,512,516.20/16,148.79
  6. Step 6: Final answer
    x = 7,586.48

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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.