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Finding the Fourth Proportional to 16,543.26, 22,822.11 and 9,825.12

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Solution

The fourth proportional to 16,543.26, 22,822.11 and 9,825.12 is: 13,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.26 : 22,822.11 = 9,825.12 : x
  2. Step 2: Convert to fraction form
    16,543.26/22,822.11 = 9,825.12/x
  3. Step 3: Cross multiply
    16,543.26x = 22,822.11 × 9,825.12
  4. Step 4: Simplify right side
    16,543.26x = 224,229,969.40
  5. Step 5: Solve for x
    x = 224,229,969.40/16,543.26
  6. Step 6: Final answer
    x = 13,554.16

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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.