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Finding the Fourth Proportional to 10,324.84, 15,486.78 and 2,533.24

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Solution

The fourth proportional to 10,324.84, 15,486.78 and 2,533.24 is: 3,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.84 : 15,486.78 = 2,533.24 : x
  2. Step 2: Convert to fraction form
    10,324.84/15,486.78 = 2,533.24/x
  3. Step 3: Cross multiply
    10,324.84x = 15,486.78 × 2,533.24
  4. Step 4: Simplify right side
    10,324.84x = 39,231,730.57
  5. Step 5: Solve for x
    x = 39,231,730.57/10,324.84
  6. Step 6: Final answer
    x = 3,799.74

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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.