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Finding the Fourth Proportional to 24,360.72, 36,536.94 and 6,826.50

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Solution

The fourth proportional to 24,360.72, 36,536.94 and 6,826.50 is: 10,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360.72 : 36,536.94 = 6,826.50 : x
  2. Step 2: Convert to fraction form
    24,360.72/36,536.94 = 6,826.50/x
  3. Step 3: Cross multiply
    24,360.72x = 36,536.94 × 6,826.50
  4. Step 4: Simplify right side
    24,360.72x = 249,419,420.91
  5. Step 5: Solve for x
    x = 249,419,420.91/24,360.72
  6. Step 6: Final answer
    x = 10,238.59

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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.