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Finding the Fourth Proportional to 16,465.02, 22,721.58 and 8,911.20

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Solution

The fourth proportional to 16,465.02, 22,721.58 and 8,911.20 is: 12,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.02 : 22,721.58 = 8,911.20 : x
  2. Step 2: Convert to fraction form
    16,465.02/22,721.58 = 8,911.20/x
  3. Step 3: Cross multiply
    16,465.02x = 22,721.58 × 8,911.20
  4. Step 4: Simplify right side
    16,465.02x = 202,476,543.70
  5. Step 5: Solve for x
    x = 202,476,543.70/16,465.02
  6. Step 6: Final answer
    x = 12,297.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.