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Finding the Fourth Proportional to 25,694.42, 38,541.64 and 6,974.46

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Solution

The fourth proportional to 25,694.42, 38,541.64 and 6,974.46 is: 10,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.42 : 38,541.64 = 6,974.46 : x
  2. Step 2: Convert to fraction form
    25,694.42/38,541.64 = 6,974.46/x
  3. Step 3: Cross multiply
    25,694.42x = 38,541.64 × 6,974.46
  4. Step 4: Simplify right side
    25,694.42x = 268,806,933.81
  5. Step 5: Solve for x
    x = 268,806,933.81/25,694.42
  6. Step 6: Final answer
    x = 10,461.69

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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.