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Finding the Fourth Proportional to 25,138.60, 37,707.76 and 6,163.00

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Solution

The fourth proportional to 25,138.60, 37,707.76 and 6,163.00 is: 9,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.60 : 37,707.76 = 6,163.00 : x
  2. Step 2: Convert to fraction form
    25,138.60/37,707.76 = 6,163.00/x
  3. Step 3: Cross multiply
    25,138.60x = 37,707.76 × 6,163.00
  4. Step 4: Simplify right side
    25,138.60x = 232,392,838.31
  5. Step 5: Solve for x
    x = 232,392,838.31/25,138.60
  6. Step 6: Final answer
    x = 9,244.46

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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.