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Finding the Fourth Proportional to 16,823.08, 25,223.82 and 7,465.96

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Solution

The fourth proportional to 16,823.08, 25,223.82 and 7,465.96 is: 11,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.08 : 25,223.82 = 7,465.96 : x
  2. Step 2: Convert to fraction form
    16,823.08/25,223.82 = 7,465.96/x
  3. Step 3: Cross multiply
    16,823.08x = 25,223.82 × 7,465.96
  4. Step 4: Simplify right side
    16,823.08x = 188,320,031.17
  5. Step 5: Solve for x
    x = 188,320,031.17/16,823.08
  6. Step 6: Final answer
    x = 11,194.15

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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.