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Finding the Fourth Proportional to 13,378.37, 18,465.17 and 8,902.31

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Solution

The fourth proportional to 13,378.37, 18,465.17 and 8,902.31 is: 12,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.37 : 18,465.17 = 8,902.31 : x
  2. Step 2: Convert to fraction form
    13,378.37/18,465.17 = 8,902.31/x
  3. Step 3: Cross multiply
    13,378.37x = 18,465.17 × 8,902.31
  4. Step 4: Simplify right side
    13,378.37x = 164,382,530.71
  5. Step 5: Solve for x
    x = 164,382,530.71/13,378.37
  6. Step 6: Final answer
    x = 12,287.19

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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.