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Finding the Fourth Proportional to 26,605.71, 39,899.39 and 9,071.37

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Solution

The fourth proportional to 26,605.71, 39,899.39 and 9,071.37 is: 13,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605.71 : 39,899.39 = 9,071.37 : x
  2. Step 2: Convert to fraction form
    26,605.71/39,899.39 = 9,071.37/x
  3. Step 3: Cross multiply
    26,605.71x = 39,899.39 × 9,071.37
  4. Step 4: Simplify right side
    26,605.71x = 361,942,084.11
  5. Step 5: Solve for x
    x = 361,942,084.11/26,605.71
  6. Step 6: Final answer
    x = 13,603.93

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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.