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Finding the Fourth Proportional to 24,356.56, 36,541.14 and 6,826.54

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Solution

The fourth proportional to 24,356.56, 36,541.14 and 6,826.54 is: 10,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.56 : 36,541.14 = 6,826.54 : x
  2. Step 2: Convert to fraction form
    24,356.56/36,541.14 = 6,826.54/x
  3. Step 3: Cross multiply
    24,356.56x = 36,541.14 × 6,826.54
  4. Step 4: Simplify right side
    24,356.56x = 249,449,553.86
  5. Step 5: Solve for x
    x = 249,449,553.86/24,356.56
  6. Step 6: Final answer
    x = 10,241.58

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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.