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Finding the Fourth Proportional to 15,056.42, 20,775.78 and 8,340.38

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Solution

The fourth proportional to 15,056.42, 20,775.78 and 8,340.38 is: 11,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.42 : 20,775.78 = 8,340.38 : x
  2. Step 2: Convert to fraction form
    15,056.42/20,775.78 = 8,340.38/x
  3. Step 3: Cross multiply
    15,056.42x = 20,775.78 × 8,340.38
  4. Step 4: Simplify right side
    15,056.42x = 173,277,900.00
  5. Step 5: Solve for x
    x = 173,277,900.00/15,056.42
  6. Step 6: Final answer
    x = 11,508.57

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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.