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Finding the Fourth Proportional to 15,514.14, 21,409.74 and 9,542.28

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Solution

The fourth proportional to 15,514.14, 21,409.74 and 9,542.28 is: 13,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.14 : 21,409.74 = 9,542.28 : x
  2. Step 2: Convert to fraction form
    15,514.14/21,409.74 = 9,542.28/x
  3. Step 3: Cross multiply
    15,514.14x = 21,409.74 × 9,542.28
  4. Step 4: Simplify right side
    15,514.14x = 204,297,733.81
  5. Step 5: Solve for x
    x = 204,297,733.81/15,514.14
  6. Step 6: Final answer
    x = 13,168.49

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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.