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Finding the Fourth Proportional to 13,402.96, 18,496.16 and 7,434.72

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Solution

The fourth proportional to 13,402.96, 18,496.16 and 7,434.72 is: 10,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.96 : 18,496.16 = 7,434.72 : x
  2. Step 2: Convert to fraction form
    13,402.96/18,496.16 = 7,434.72/x
  3. Step 3: Cross multiply
    13,402.96x = 18,496.16 × 7,434.72
  4. Step 4: Simplify right side
    13,402.96x = 137,513,770.68
  5. Step 5: Solve for x
    x = 137,513,770.68/13,402.96
  6. Step 6: Final answer
    x = 10,259.96

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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.