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Finding the Fourth Proportional to 25,134.64, 37,701.94 and 6,414.68

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Solution

The fourth proportional to 25,134.64, 37,701.94 and 6,414.68 is: 9,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.64 : 37,701.94 = 6,414.68 : x
  2. Step 2: Convert to fraction form
    25,134.64/37,701.94 = 6,414.68/x
  3. Step 3: Cross multiply
    25,134.64x = 37,701.94 × 6,414.68
  4. Step 4: Simplify right side
    25,134.64x = 241,845,880.48
  5. Step 5: Solve for x
    x = 241,845,880.48/25,134.64
  6. Step 6: Final answer
    x = 9,622.01

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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.