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Finding the Fourth Proportional to 16,397.84, 22,629.04 and 9,324.30

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Solution

The fourth proportional to 16,397.84, 22,629.04 and 9,324.30 is: 12,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.84 : 22,629.04 = 9,324.30 : x
  2. Step 2: Convert to fraction form
    16,397.84/22,629.04 = 9,324.30/x
  3. Step 3: Cross multiply
    16,397.84x = 22,629.04 × 9,324.30
  4. Step 4: Simplify right side
    16,397.84x = 210,999,957.67
  5. Step 5: Solve for x
    x = 210,999,957.67/16,397.84
  6. Step 6: Final answer
    x = 12,867.55

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1.5x scale

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.