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Finding the Fourth Proportional to 16,302.40, 22,496.88 and 9,229.12

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Solution

The fourth proportional to 16,302.40, 22,496.88 and 9,229.12 is: 12,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.40 : 22,496.88 = 9,229.12 : x
  2. Step 2: Convert to fraction form
    16,302.40/22,496.88 = 9,229.12/x
  3. Step 3: Cross multiply
    16,302.40x = 22,496.88 × 9,229.12
  4. Step 4: Simplify right side
    16,302.40x = 207,626,405.15
  5. Step 5: Solve for x
    x = 207,626,405.15/16,302.40
  6. Step 6: Final answer
    x = 12,735.94

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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.