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Finding the Fourth Proportional to 22,459.13, 33,688.55 and 5,819.12

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Solution

The fourth proportional to 22,459.13, 33,688.55 and 5,819.12 is: 8,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.13 : 33,688.55 = 5,819.12 : x
  2. Step 2: Convert to fraction form
    22,459.13/33,688.55 = 5,819.12/x
  3. Step 3: Cross multiply
    22,459.13x = 33,688.55 × 5,819.12
  4. Step 4: Simplify right side
    22,459.13x = 196,037,561.18
  5. Step 5: Solve for x
    x = 196,037,561.18/22,459.13
  6. Step 6: Final answer
    x = 8,728.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.