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Finding the Fourth Proportional to 26,537.88, 39,810.48 and 9,003

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Solution

The fourth proportional to 26,537.88, 39,810.48 and 9,003 is: 13,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.88 : 39,810.48 = 9,003 : x
  2. Step 2: Convert to fraction form
    26,537.88/39,810.48 = 9,003/x
  3. Step 3: Cross multiply
    26,537.88x = 39,810.48 × 9,003
  4. Step 4: Simplify right side
    26,537.88x = 358,413,751.44
  5. Step 5: Solve for x
    x = 358,413,751.44/26,537.88
  6. Step 6: Final answer
    x = 13,505.74

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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.