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Finding the Fourth Proportional to 13,027.68, 19,543.92 and 4,263.08

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Solution

The fourth proportional to 13,027.68, 19,543.92 and 4,263.08 is: 6,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.68 : 19,543.92 = 4,263.08 : x
  2. Step 2: Convert to fraction form
    13,027.68/19,543.92 = 4,263.08/x
  3. Step 3: Cross multiply
    13,027.68x = 19,543.92 × 4,263.08
  4. Step 4: Simplify right side
    13,027.68x = 83,317,294.47
  5. Step 5: Solve for x
    x = 83,317,294.47/13,027.68
  6. Step 6: Final answer
    x = 6,395.41

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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.