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Finding the Fourth Proportional to 10,205.42, 15,308.32 and 2,809.84

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Solution

The fourth proportional to 10,205.42, 15,308.32 and 2,809.84 is: 4,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.42 : 15,308.32 = 2,809.84 : x
  2. Step 2: Convert to fraction form
    10,205.42/15,308.32 = 2,809.84/x
  3. Step 3: Cross multiply
    10,205.42x = 15,308.32 × 2,809.84
  4. Step 4: Simplify right side
    10,205.42x = 43,013,929.87
  5. Step 5: Solve for x
    x = 43,013,929.87/10,205.42
  6. Step 6: Final answer
    x = 4,214.81

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