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Finding the Fourth Proportional to 25,138.64, 37,707.94 and 6,418.68

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Solution

The fourth proportional to 25,138.64, 37,707.94 and 6,418.68 is: 9,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.64 : 37,707.94 = 6,418.68 : x
  2. Step 2: Convert to fraction form
    25,138.64/37,707.94 = 6,418.68/x
  3. Step 3: Cross multiply
    25,138.64x = 37,707.94 × 6,418.68
  4. Step 4: Simplify right side
    25,138.64x = 242,035,200.32
  5. Step 5: Solve for x
    x = 242,035,200.32/25,138.64
  6. Step 6: Final answer
    x = 9,628.01

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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.