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Finding the Fourth Proportional to 10,024.31, 15,036.39 and 7,834.88

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Solution

The fourth proportional to 10,024.31, 15,036.39 and 7,834.88 is: 11,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.31 : 15,036.39 = 7,834.88 : x
  2. Step 2: Convert to fraction form
    10,024.31/15,036.39 = 7,834.88/x
  3. Step 3: Cross multiply
    10,024.31x = 15,036.39 × 7,834.88
  4. Step 4: Simplify right side
    10,024.31x = 117,808,236.10
  5. Step 5: Solve for x
    x = 117,808,236.10/10,024.31
  6. Step 6: Final answer
    x = 11,752.26

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