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Finding the Fourth Proportional to 16,858.14, 23,264.16 and 9,304.56

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Solution

The fourth proportional to 16,858.14, 23,264.16 and 9,304.56 is: 12,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.14 : 23,264.16 = 9,304.56 : x
  2. Step 2: Convert to fraction form
    16,858.14/23,264.16 = 9,304.56/x
  3. Step 3: Cross multiply
    16,858.14x = 23,264.16 × 9,304.56
  4. Step 4: Simplify right side
    16,858.14x = 216,462,772.57
  5. Step 5: Solve for x
    x = 216,462,772.57/16,858.14
  6. Step 6: Final answer
    x = 12,840.25

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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.