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Finding the Fourth Proportional to 13,403.31, 18,497.62 and 7,436.13

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Solution

The fourth proportional to 13,403.31, 18,497.62 and 7,436.13 is: 10,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.31 : 18,497.62 = 7,436.13 : x
  2. Step 2: Convert to fraction form
    13,403.31/18,497.62 = 7,436.13/x
  3. Step 3: Cross multiply
    13,403.31x = 18,497.62 × 7,436.13
  4. Step 4: Simplify right side
    13,403.31x = 137,550,707.01
  5. Step 5: Solve for x
    x = 137,550,707.01/13,403.31
  6. Step 6: Final answer
    x = 10,262.44

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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.