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Finding the Fourth Proportional to 34,838, 52,265.68 and 10,214

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Solution

The fourth proportional to 34,838, 52,265.68 and 10,214 is: 15,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,838 : 52,265.68 = 10,214 : x
  2. Step 2: Convert to fraction form
    34,838/52,265.68 = 10,214/x
  3. Step 3: Cross multiply
    34,838x = 52,265.68 × 10,214
  4. Step 4: Simplify right side
    34,838x = 533,841,655.52
  5. Step 5: Solve for x
    x = 533,841,655.52/34,838
  6. Step 6: Final answer
    x = 15,323.54

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