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Finding the Fourth Proportional to 16,886.16, 23,305.80 and 9,816.68

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Solution

The fourth proportional to 16,886.16, 23,305.80 and 9,816.68 is: 13,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886.16 : 23,305.80 = 9,816.68 : x
  2. Step 2: Convert to fraction form
    16,886.16/23,305.80 = 9,816.68/x
  3. Step 3: Cross multiply
    16,886.16x = 23,305.80 × 9,816.68
  4. Step 4: Simplify right side
    16,886.16x = 228,785,631.33
  5. Step 5: Solve for x
    x = 228,785,631.33/16,886.16
  6. Step 6: Final answer
    x = 13,548.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.