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Finding the Fourth Proportional to 31,700.64, 47,545.20 and 9,508.80

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Solution

The fourth proportional to 31,700.64, 47,545.20 and 9,508.80 is: 14,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.64 : 47,545.20 = 9,508.80 : x
  2. Step 2: Convert to fraction form
    31,700.64/47,545.20 = 9,508.80/x
  3. Step 3: Cross multiply
    31,700.64x = 47,545.20 × 9,508.80
  4. Step 4: Simplify right side
    31,700.64x = 452,097,797.76
  5. Step 5: Solve for x
    x = 452,097,797.76/31,700.64
  6. Step 6: Final answer
    x = 14,261.47

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