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Finding the Fourth Proportional to 10,577.64, 15,835.58 and 9,167.77

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Solution

The fourth proportional to 10,577.64, 15,835.58 and 9,167.77 is: 13,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.64 : 15,835.58 = 9,167.77 : x
  2. Step 2: Convert to fraction form
    10,577.64/15,835.58 = 9,167.77/x
  3. Step 3: Cross multiply
    10,577.64x = 15,835.58 × 9,167.77
  4. Step 4: Simplify right side
    10,577.64x = 145,176,955.26
  5. Step 5: Solve for x
    x = 145,176,955.26/10,577.64
  6. Step 6: Final answer
    x = 13,724.89

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