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Finding the Fourth Proportional to 16,657.98, 22,986.99 and 9,102.75

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Solution

The fourth proportional to 16,657.98, 22,986.99 and 9,102.75 is: 12,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.98 : 22,986.99 = 9,102.75 : x
  2. Step 2: Convert to fraction form
    16,657.98/22,986.99 = 9,102.75/x
  3. Step 3: Cross multiply
    16,657.98x = 22,986.99 × 9,102.75
  4. Step 4: Simplify right side
    16,657.98x = 209,244,823.22
  5. Step 5: Solve for x
    x = 209,244,823.22/16,657.98
  6. Step 6: Final answer
    x = 12,561.24

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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.