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Finding the Fourth Proportional to 16,833.72, 25,248 and 5,147.04

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Solution

The fourth proportional to 16,833.72, 25,248 and 5,147.04 is: 7,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.72 : 25,248 = 5,147.04 : x
  2. Step 2: Convert to fraction form
    16,833.72/25,248 = 5,147.04/x
  3. Step 3: Cross multiply
    16,833.72x = 25,248 × 5,147.04
  4. Step 4: Simplify right side
    16,833.72x = 129,952,465.92
  5. Step 5: Solve for x
    x = 129,952,465.92/16,833.72
  6. Step 6: Final answer
    x = 7,719.77

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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.