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Finding the Fourth Proportional to 21,175.50, 31,735.90 and 10,085.59

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Solution

The fourth proportional to 21,175.50, 31,735.90 and 10,085.59 is: 15,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.50 : 31,735.90 = 10,085.59 : x
  2. Step 2: Convert to fraction form
    21,175.50/31,735.90 = 10,085.59/x
  3. Step 3: Cross multiply
    21,175.50x = 31,735.90 × 10,085.59
  4. Step 4: Simplify right side
    21,175.50x = 320,075,275.68
  5. Step 5: Solve for x
    x = 320,075,275.68/21,175.50
  6. Step 6: Final answer
    x = 15,115.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.