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Finding the Fourth Proportional to 16,561.68, 22,855.42 and 9,008.18

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Solution

The fourth proportional to 16,561.68, 22,855.42 and 9,008.18 is: 12,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.68 : 22,855.42 = 9,008.18 : x
  2. Step 2: Convert to fraction form
    16,561.68/22,855.42 = 9,008.18/x
  3. Step 3: Cross multiply
    16,561.68x = 22,855.42 × 9,008.18
  4. Step 4: Simplify right side
    16,561.68x = 205,885,686.25
  5. Step 5: Solve for x
    x = 205,885,686.25/16,561.68
  6. Step 6: Final answer
    x = 12,431.45

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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.