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Finding the Fourth Proportional to 13,263.66, 18,307.23 and 8,224.83

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Solution

The fourth proportional to 13,263.66, 18,307.23 and 8,224.83 is: 11,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.66 : 18,307.23 = 8,224.83 : x
  2. Step 2: Convert to fraction form
    13,263.66/18,307.23 = 8,224.83/x
  3. Step 3: Cross multiply
    13,263.66x = 18,307.23 × 8,224.83
  4. Step 4: Simplify right side
    13,263.66x = 150,573,854.52
  5. Step 5: Solve for x
    x = 150,573,854.52/13,263.66
  6. Step 6: Final answer
    x = 11,352.36

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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.