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Finding the Fourth Proportional to 14,251.10, 21,385.85 and 7,681.86

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Solution

The fourth proportional to 14,251.10, 21,385.85 and 7,681.86 is: 11,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.10 : 21,385.85 = 7,681.86 : x
  2. Step 2: Convert to fraction form
    14,251.10/21,385.85 = 7,681.86/x
  3. Step 3: Cross multiply
    14,251.10x = 21,385.85 × 7,681.86
  4. Step 4: Simplify right side
    14,251.10x = 164,283,067.27
  5. Step 5: Solve for x
    x = 164,283,067.27/14,251.10
  6. Step 6: Final answer
    x = 11,527.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.