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Finding the Fourth Proportional to 31,875.60, 47,823.84 and 9,689.92

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Solution

The fourth proportional to 31,875.60, 47,823.84 and 9,689.92 is: 14,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.60 : 47,823.84 = 9,689.92 : x
  2. Step 2: Convert to fraction form
    31,875.60/47,823.84 = 9,689.92/x
  3. Step 3: Cross multiply
    31,875.60x = 47,823.84 × 9,689.92
  4. Step 4: Simplify right side
    31,875.60x = 463,409,183.69
  5. Step 5: Solve for x
    x = 463,409,183.69/31,875.60
  6. Step 6: Final answer
    x = 14,538.05

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