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Finding the Fourth Proportional to 16,102.10, 22,220.24 and 9,028.64

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Solution

The fourth proportional to 16,102.10, 22,220.24 and 9,028.64 is: 12,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.10 : 22,220.24 = 9,028.64 : x
  2. Step 2: Convert to fraction form
    16,102.10/22,220.24 = 9,028.64/x
  3. Step 3: Cross multiply
    16,102.10x = 22,220.24 × 9,028.64
  4. Step 4: Simplify right side
    16,102.10x = 200,618,547.67
  5. Step 5: Solve for x
    x = 200,618,547.67/16,102.10
  6. Step 6: Final answer
    x = 12,459.15

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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.