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Finding the Fourth Proportional to 22,541.76, 33,808.32 and 6,959.52

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Solution

The fourth proportional to 22,541.76, 33,808.32 and 6,959.52 is: 10,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.76 : 33,808.32 = 6,959.52 : x
  2. Step 2: Convert to fraction form
    22,541.76/33,808.32 = 6,959.52/x
  3. Step 3: Cross multiply
    22,541.76x = 33,808.32 × 6,959.52
  4. Step 4: Simplify right side
    22,541.76x = 235,289,679.21
  5. Step 5: Solve for x
    x = 235,289,679.21/22,541.76
  6. Step 6: Final answer
    x = 10,437.95

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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.