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Finding the Fourth Proportional to 16,878.32, 23,292.55 and 9,325.14

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Solution

The fourth proportional to 16,878.32, 23,292.55 and 9,325.14 is: 12,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.32 : 23,292.55 = 9,325.14 : x
  2. Step 2: Convert to fraction form
    16,878.32/23,292.55 = 9,325.14/x
  3. Step 3: Cross multiply
    16,878.32x = 23,292.55 × 9,325.14
  4. Step 4: Simplify right side
    16,878.32x = 217,206,305.75
  5. Step 5: Solve for x
    x = 217,206,305.75/16,878.32
  6. Step 6: Final answer
    x = 12,868.95

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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.