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Finding the Fourth Proportional to 16,287.63, 22,476.93 and 9,213.90

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Solution

The fourth proportional to 16,287.63, 22,476.93 and 9,213.90 is: 12,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.63 : 22,476.93 = 9,213.90 : x
  2. Step 2: Convert to fraction form
    16,287.63/22,476.93 = 9,213.90/x
  3. Step 3: Cross multiply
    16,287.63x = 22,476.93 × 9,213.90
  4. Step 4: Simplify right side
    16,287.63x = 207,100,185.33
  5. Step 5: Solve for x
    x = 207,100,185.33/16,287.63
  6. Step 6: Final answer
    x = 12,715.18

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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.