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Finding the Fourth Proportional to 13,742.34, 18,964.43 and 7,454.71

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Solution

The fourth proportional to 13,742.34, 18,964.43 and 7,454.71 is: 10,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.34 : 18,964.43 = 7,454.71 : x
  2. Step 2: Convert to fraction form
    13,742.34/18,964.43 = 7,454.71/x
  3. Step 3: Cross multiply
    13,742.34x = 18,964.43 × 7,454.71
  4. Step 4: Simplify right side
    13,742.34x = 141,374,325.97
  5. Step 5: Solve for x
    x = 141,374,325.97/13,742.34
  6. Step 6: Final answer
    x = 10,287.50

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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.