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Finding the Fourth Proportional to 14,381.64, 19,844.46 and 9,083.70

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Solution

The fourth proportional to 14,381.64, 19,844.46 and 9,083.70 is: 12,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.64 : 19,844.46 = 9,083.70 : x
  2. Step 2: Convert to fraction form
    14,381.64/19,844.46 = 9,083.70/x
  3. Step 3: Cross multiply
    14,381.64x = 19,844.46 × 9,083.70
  4. Step 4: Simplify right side
    14,381.64x = 180,261,121.30
  5. Step 5: Solve for x
    x = 180,261,121.30/14,381.64
  6. Step 6: Final answer
    x = 12,534.11

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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.