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Finding the Fourth Proportional to 13,402.13, 18,494.61 and 7,433.93

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Solution

The fourth proportional to 13,402.13, 18,494.61 and 7,433.93 is: 10,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.13 : 18,494.61 = 7,433.93 : x
  2. Step 2: Convert to fraction form
    13,402.13/18,494.61 = 7,433.93/x
  3. Step 3: Cross multiply
    13,402.13x = 18,494.61 × 7,433.93
  4. Step 4: Simplify right side
    13,402.13x = 137,487,636.12
  5. Step 5: Solve for x
    x = 137,487,636.12/13,402.13
  6. Step 6: Final answer
    x = 10,258.64

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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.