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Finding the Fourth Proportional to 25,214.93, 37,826.91 and 8,574.10

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Solution

The fourth proportional to 25,214.93, 37,826.91 and 8,574.10 is: 12,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.93 : 37,826.91 = 8,574.10 : x
  2. Step 2: Convert to fraction form
    25,214.93/37,826.91 = 8,574.10/x
  3. Step 3: Cross multiply
    25,214.93x = 37,826.91 × 8,574.10
  4. Step 4: Simplify right side
    25,214.93x = 324,331,709.03
  5. Step 5: Solve for x
    x = 324,331,709.03/25,214.93
  6. Step 6: Final answer
    x = 12,862.69

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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.