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Finding the Fourth Proportional to 13,159.29, 19,678.86 and 9,829.83

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Solution

The fourth proportional to 13,159.29, 19,678.86 and 9,829.83 is: 14,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.29 : 19,678.86 = 9,829.83 : x
  2. Step 2: Convert to fraction form
    13,159.29/19,678.86 = 9,829.83/x
  3. Step 3: Cross multiply
    13,159.29x = 19,678.86 × 9,829.83
  4. Step 4: Simplify right side
    13,159.29x = 193,439,848.39
  5. Step 5: Solve for x
    x = 193,439,848.39/13,159.29
  6. Step 6: Final answer
    x = 14,699.87

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