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Finding the Fourth Proportional to 14,288.10, 19,717.56 and 8,000.52

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Solution

The fourth proportional to 14,288.10, 19,717.56 and 8,000.52 is: 11,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.10 : 19,717.56 = 8,000.52 : x
  2. Step 2: Convert to fraction form
    14,288.10/19,717.56 = 8,000.52/x
  3. Step 3: Cross multiply
    14,288.10x = 19,717.56 × 8,000.52
  4. Step 4: Simplify right side
    14,288.10x = 157,750,733.13
  5. Step 5: Solve for x
    x = 157,750,733.13/14,288.10
  6. Step 6: Final answer
    x = 11,040.71

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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.