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Finding the Fourth Proportional to 13,708.64, 18,917.96 and 7,421.02

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Solution

The fourth proportional to 13,708.64, 18,917.96 and 7,421.02 is: 10,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.64 : 18,917.96 = 7,421.02 : x
  2. Step 2: Convert to fraction form
    13,708.64/18,917.96 = 7,421.02/x
  3. Step 3: Cross multiply
    13,708.64x = 18,917.96 × 7,421.02
  4. Step 4: Simplify right side
    13,708.64x = 140,390,475.12
  5. Step 5: Solve for x
    x = 140,390,475.12/13,708.64
  6. Step 6: Final answer
    x = 10,241.02

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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.