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Finding the Fourth Proportional to 16,252.56, 22,430.16 and 9,961.20

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Solution

The fourth proportional to 16,252.56, 22,430.16 and 9,961.20 is: 13,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.56 : 22,430.16 = 9,961.20 : x
  2. Step 2: Convert to fraction form
    16,252.56/22,430.16 = 9,961.20/x
  3. Step 3: Cross multiply
    16,252.56x = 22,430.16 × 9,961.20
  4. Step 4: Simplify right side
    16,252.56x = 223,431,309.79
  5. Step 5: Solve for x
    x = 223,431,309.79/16,252.56
  6. Step 6: Final answer
    x = 13,747.45

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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.