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Finding the Fourth Proportional to 26,536.52, 39,805.86 and 9,006.50

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Solution

The fourth proportional to 26,536.52, 39,805.86 and 9,006.50 is: 13,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.52 : 39,805.86 = 9,006.50 : x
  2. Step 2: Convert to fraction form
    26,536.52/39,805.86 = 9,006.50/x
  3. Step 3: Cross multiply
    26,536.52x = 39,805.86 × 9,006.50
  4. Step 4: Simplify right side
    26,536.52x = 358,511,478.09
  5. Step 5: Solve for x
    x = 358,511,478.09/26,536.52
  6. Step 6: Final answer
    x = 13,510.12

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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.