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Finding the Fourth Proportional to 16,241.96, 22,407.36 and 9,866.16

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Solution

The fourth proportional to 16,241.96, 22,407.36 and 9,866.16 is: 13,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.96 : 22,407.36 = 9,866.16 : x
  2. Step 2: Convert to fraction form
    16,241.96/22,407.36 = 9,866.16/x
  3. Step 3: Cross multiply
    16,241.96x = 22,407.36 × 9,866.16
  4. Step 4: Simplify right side
    16,241.96x = 221,074,598.94
  5. Step 5: Solve for x
    x = 221,074,598.94/16,241.96
  6. Step 6: Final answer
    x = 13,611.33

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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.