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Finding the Fourth Proportional to 16,102.16, 22,220.98 and 9,028.58

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Solution

The fourth proportional to 16,102.16, 22,220.98 and 9,028.58 is: 12,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.16 : 22,220.98 = 9,028.58 : x
  2. Step 2: Convert to fraction form
    16,102.16/22,220.98 = 9,028.58/x
  3. Step 3: Cross multiply
    16,102.16x = 22,220.98 × 9,028.58
  4. Step 4: Simplify right side
    16,102.16x = 200,623,895.61
  5. Step 5: Solve for x
    x = 200,623,895.61/16,102.16
  6. Step 6: Final answer
    x = 12,459.44

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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.