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Finding the Fourth Proportional to 13,138.50, 19,707.76 and 3,904.50

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Solution

The fourth proportional to 13,138.50, 19,707.76 and 3,904.50 is: 5,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.50 : 19,707.76 = 3,904.50 : x
  2. Step 2: Convert to fraction form
    13,138.50/19,707.76 = 3,904.50/x
  3. Step 3: Cross multiply
    13,138.50x = 19,707.76 × 3,904.50
  4. Step 4: Simplify right side
    13,138.50x = 76,948,948.92
  5. Step 5: Solve for x
    x = 76,948,948.92/13,138.50
  6. Step 6: Final answer
    x = 5,856.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.