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Finding the Fourth Proportional to 16,894.80, 25,345.80 and 5,209.20

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Solution

The fourth proportional to 16,894.80, 25,345.80 and 5,209.20 is: 7,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.80 : 25,345.80 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    16,894.80/25,345.80 = 5,209.20/x
  3. Step 3: Cross multiply
    16,894.80x = 25,345.80 × 5,209.20
  4. Step 4: Simplify right side
    16,894.80x = 132,031,341.36
  5. Step 5: Solve for x
    x = 132,031,341.36/16,894.80
  6. Step 6: Final answer
    x = 7,814.91

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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.