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Finding the Fourth Proportional to 16,858.54, 23,264.74 and 9,304.86

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Solution

The fourth proportional to 16,858.54, 23,264.74 and 9,304.86 is: 12,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.54 : 23,264.74 = 9,304.86 : x
  2. Step 2: Convert to fraction form
    16,858.54/23,264.74 = 9,304.86/x
  3. Step 3: Cross multiply
    16,858.54x = 23,264.74 × 9,304.86
  4. Step 4: Simplify right side
    16,858.54x = 216,475,148.64
  5. Step 5: Solve for x
    x = 216,475,148.64/16,858.54
  6. Step 6: Final answer
    x = 12,840.68

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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.