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Finding the Fourth Proportional to 22,978.84, 31,708.56 and 12,905

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Solution

The fourth proportional to 22,978.84, 31,708.56 and 12,905 is: 17,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.84 : 31,708.56 = 12,905 : x
  2. Step 2: Convert to fraction form
    22,978.84/31,708.56 = 12,905/x
  3. Step 3: Cross multiply
    22,978.84x = 31,708.56 × 12,905
  4. Step 4: Simplify right side
    22,978.84x = 409,198,966.80
  5. Step 5: Solve for x
    x = 409,198,966.80/22,978.84
  6. Step 6: Final answer
    x = 17,807.64

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