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Finding the Fourth Proportional to 13,817.34, 19,076.40 and 8,519.40

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Solution

The fourth proportional to 13,817.34, 19,076.40 and 8,519.40 is: 11,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.34 : 19,076.40 = 8,519.40 : x
  2. Step 2: Convert to fraction form
    13,817.34/19,076.40 = 8,519.40/x
  3. Step 3: Cross multiply
    13,817.34x = 19,076.40 × 8,519.40
  4. Step 4: Simplify right side
    13,817.34x = 162,519,482.16
  5. Step 5: Solve for x
    x = 162,519,482.16/13,817.34
  6. Step 6: Final answer
    x = 11,761.99

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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.