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Finding the Fourth Proportional to 15,371.76, 21,214.24 and 9,085.34

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Solution

The fourth proportional to 15,371.76, 21,214.24 and 9,085.34 is: 12,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,371.76 : 21,214.24 = 9,085.34 : x
  2. Step 2: Convert to fraction form
    15,371.76/21,214.24 = 9,085.34/x
  3. Step 3: Cross multiply
    15,371.76x = 21,214.24 × 9,085.34
  4. Step 4: Simplify right side
    15,371.76x = 192,738,583.24
  5. Step 5: Solve for x
    x = 192,738,583.24/15,371.76
  6. Step 6: Final answer
    x = 12,538.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.