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Finding the Fourth Proportional to 51,854.32, 77,772.12 and 14,416.90

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Solution

The fourth proportional to 51,854.32, 77,772.12 and 14,416.90 is: 21,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.32 : 77,772.12 = 14,416.90 : x
  2. Step 2: Convert to fraction form
    51,854.32/77,772.12 = 14,416.90/x
  3. Step 3: Cross multiply
    51,854.32x = 77,772.12 × 14,416.90
  4. Step 4: Simplify right side
    51,854.32x = 1,121,232,876.83
  5. Step 5: Solve for x
    x = 1,121,232,876.83/51,854.32
  6. Step 6: Final answer
    x = 21,622.75

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