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Finding the Fourth Proportional to 25,330.94, 37,996.41 and 6,862.94

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Solution

The fourth proportional to 25,330.94, 37,996.41 and 6,862.94 is: 10,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,330.94 : 37,996.41 = 6,862.94 : x
  2. Step 2: Convert to fraction form
    25,330.94/37,996.41 = 6,862.94/x
  3. Step 3: Cross multiply
    25,330.94x = 37,996.41 × 6,862.94
  4. Step 4: Simplify right side
    25,330.94x = 260,767,082.05
  5. Step 5: Solve for x
    x = 260,767,082.05/25,330.94
  6. Step 6: Final answer
    x = 10,294.41

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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.