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Finding the Fourth Proportional to 14,098.17, 21,152.79 and 5,782.17

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Solution

The fourth proportional to 14,098.17, 21,152.79 and 5,782.17 is: 8,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.17 : 21,152.79 = 5,782.17 : x
  2. Step 2: Convert to fraction form
    14,098.17/21,152.79 = 5,782.17/x
  3. Step 3: Cross multiply
    14,098.17x = 21,152.79 × 5,782.17
  4. Step 4: Simplify right side
    14,098.17x = 122,309,027.75
  5. Step 5: Solve for x
    x = 122,309,027.75/14,098.17
  6. Step 6: Final answer
    x = 8,675.53

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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.