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Finding the Fourth Proportional to 13,710.48, 18,919.62 and 7,742.40

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Solution

The fourth proportional to 13,710.48, 18,919.62 and 7,742.40 is: 10,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.48 : 18,919.62 = 7,742.40 : x
  2. Step 2: Convert to fraction form
    13,710.48/18,919.62 = 7,742.40/x
  3. Step 3: Cross multiply
    13,710.48x = 18,919.62 × 7,742.40
  4. Step 4: Simplify right side
    13,710.48x = 146,483,265.89
  5. Step 5: Solve for x
    x = 146,483,265.89/13,710.48
  6. Step 6: Final answer
    x = 10,684.04

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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.