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Finding the Fourth Proportional to 16,871.14, 23,282.06 and 9,317.96

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Solution

The fourth proportional to 16,871.14, 23,282.06 and 9,317.96 is: 12,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.14 : 23,282.06 = 9,317.96 : x
  2. Step 2: Convert to fraction form
    16,871.14/23,282.06 = 9,317.96/x
  3. Step 3: Cross multiply
    16,871.14x = 23,282.06 × 9,317.96
  4. Step 4: Simplify right side
    16,871.14x = 216,941,303.80
  5. Step 5: Solve for x
    x = 216,941,303.80/16,871.14
  6. Step 6: Final answer
    x = 12,858.72

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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.