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Finding the Fourth Proportional to 16,657.84, 22,987.80 and 9,104.22

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Solution

The fourth proportional to 16,657.84, 22,987.80 and 9,104.22 is: 12,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.84 : 22,987.80 = 9,104.22 : x
  2. Step 2: Convert to fraction form
    16,657.84/22,987.80 = 9,104.22/x
  3. Step 3: Cross multiply
    16,657.84x = 22,987.80 × 9,104.22
  4. Step 4: Simplify right side
    16,657.84x = 209,285,988.52
  5. Step 5: Solve for x
    x = 209,285,988.52/16,657.84
  6. Step 6: Final answer
    x = 12,563.81

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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.