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Finding the Fourth Proportional to 15,738.64, 21,716.54 and 9,451.14

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Solution

The fourth proportional to 15,738.64, 21,716.54 and 9,451.14 is: 13,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.64 : 21,716.54 = 9,451.14 : x
  2. Step 2: Convert to fraction form
    15,738.64/21,716.54 = 9,451.14/x
  3. Step 3: Cross multiply
    15,738.64x = 21,716.54 × 9,451.14
  4. Step 4: Simplify right side
    15,738.64x = 205,246,059.86
  5. Step 5: Solve for x
    x = 205,246,059.86/15,738.64
  6. Step 6: Final answer
    x = 13,040.90

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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.