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Finding the Fourth Proportional to 13,138.30, 19,707.45 and 3,904.30

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Solution

The fourth proportional to 13,138.30, 19,707.45 and 3,904.30 is: 5,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.30 : 19,707.45 = 3,904.30 : x
  2. Step 2: Convert to fraction form
    13,138.30/19,707.45 = 3,904.30/x
  3. Step 3: Cross multiply
    13,138.30x = 19,707.45 × 3,904.30
  4. Step 4: Simplify right side
    13,138.30x = 76,943,797.04
  5. Step 5: Solve for x
    x = 76,943,797.04/13,138.30
  6. Step 6: Final answer
    x = 5,856.45

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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.