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Finding the Fourth Proportional to 13,200.17, 19,804.80 and 8,263.92

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Solution

The fourth proportional to 13,200.17, 19,804.80 and 8,263.92 is: 12,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.17 : 19,804.80 = 8,263.92 : x
  2. Step 2: Convert to fraction form
    13,200.17/19,804.80 = 8,263.92/x
  3. Step 3: Cross multiply
    13,200.17x = 19,804.80 × 8,263.92
  4. Step 4: Simplify right side
    13,200.17x = 163,665,388.07
  5. Step 5: Solve for x
    x = 163,665,388.07/13,200.17
  6. Step 6: Final answer
    x = 12,398.74

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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.