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Finding the Fourth Proportional to 25,161.12, 37,746 and 7,394.40

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Solution

The fourth proportional to 25,161.12, 37,746 and 7,394.40 is: 11,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161.12 : 37,746 = 7,394.40 : x
  2. Step 2: Convert to fraction form
    25,161.12/37,746 = 7,394.40/x
  3. Step 3: Cross multiply
    25,161.12x = 37,746 × 7,394.40
  4. Step 4: Simplify right side
    25,161.12x = 279,109,022.40
  5. Step 5: Solve for x
    x = 279,109,022.40/25,161.12
  6. Step 6: Final answer
    x = 11,092.87

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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.