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Finding the Fourth Proportional to 16,094.75, 22,208.95 and 9,020.15

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Solution

The fourth proportional to 16,094.75, 22,208.95 and 9,020.15 is: 12,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.75 : 22,208.95 = 9,020.15 : x
  2. Step 2: Convert to fraction form
    16,094.75/22,208.95 = 9,020.15/x
  3. Step 3: Cross multiply
    16,094.75x = 22,208.95 × 9,020.15
  4. Step 4: Simplify right side
    16,094.75x = 200,328,060.34
  5. Step 5: Solve for x
    x = 200,328,060.34/16,094.75
  6. Step 6: Final answer
    x = 12,446.80

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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.