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Finding the Fourth Proportional to 13,203.68, 18,228.80 and 7,900.16

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Solution

The fourth proportional to 13,203.68, 18,228.80 and 7,900.16 is: 10,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.68 : 18,228.80 = 7,900.16 : x
  2. Step 2: Convert to fraction form
    13,203.68/18,228.80 = 7,900.16/x
  3. Step 3: Cross multiply
    13,203.68x = 18,228.80 × 7,900.16
  4. Step 4: Simplify right side
    13,203.68x = 144,010,436.61
  5. Step 5: Solve for x
    x = 144,010,436.61/13,203.68
  6. Step 6: Final answer
    x = 10,906.84

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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.