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Finding the Fourth Proportional to 16,864.16, 23,272.41 and 9,310.49

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Solution

The fourth proportional to 16,864.16, 23,272.41 and 9,310.49 is: 12,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.16 : 23,272.41 = 9,310.49 : x
  2. Step 2: Convert to fraction form
    16,864.16/23,272.41 = 9,310.49/x
  3. Step 3: Cross multiply
    16,864.16x = 23,272.41 × 9,310.49
  4. Step 4: Simplify right side
    16,864.16x = 216,677,424.22
  5. Step 5: Solve for x
    x = 216,677,424.22/16,864.16
  6. Step 6: Final answer
    x = 12,848.40

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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.