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Finding the Fourth Proportional to 13,403.93, 18,496.10 and 7,435.48

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Solution

The fourth proportional to 13,403.93, 18,496.10 and 7,435.48 is: 10,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.93 : 18,496.10 = 7,435.48 : x
  2. Step 2: Convert to fraction form
    13,403.93/18,496.10 = 7,435.48/x
  3. Step 3: Cross multiply
    13,403.93x = 18,496.10 × 7,435.48
  4. Step 4: Simplify right side
    13,403.93x = 137,527,381.63
  5. Step 5: Solve for x
    x = 137,527,381.63/13,403.93
  6. Step 6: Final answer
    x = 10,260.23

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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.