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Finding the Fourth Proportional to 16,406.13, 24,607.80 and 9,827.49

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Solution

The fourth proportional to 16,406.13, 24,607.80 and 9,827.49 is: 14,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.13 : 24,607.80 = 9,827.49 : x
  2. Step 2: Convert to fraction form
    16,406.13/24,607.80 = 9,827.49/x
  3. Step 3: Cross multiply
    16,406.13x = 24,607.80 × 9,827.49
  4. Step 4: Simplify right side
    16,406.13x = 241,832,908.42
  5. Step 5: Solve for x
    x = 241,832,908.42/16,406.13
  6. Step 6: Final answer
    x = 14,740.40

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