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Finding the Fourth Proportional to 25,214.04, 37,806.66 and 7,678.68

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Solution

The fourth proportional to 25,214.04, 37,806.66 and 7,678.68 is: 11,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.04 : 37,806.66 = 7,678.68 : x
  2. Step 2: Convert to fraction form
    25,214.04/37,806.66 = 7,678.68/x
  3. Step 3: Cross multiply
    25,214.04x = 37,806.66 × 7,678.68
  4. Step 4: Simplify right side
    25,214.04x = 290,305,244.01
  5. Step 5: Solve for x
    x = 290,305,244.01/25,214.04
  6. Step 6: Final answer
    x = 11,513.63

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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.