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Finding the Fourth Proportional to 25,146.11, 37,723.77 and 8,280.08

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Solution

The fourth proportional to 25,146.11, 37,723.77 and 8,280.08 is: 12,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.11 : 37,723.77 = 8,280.08 : x
  2. Step 2: Convert to fraction form
    25,146.11/37,723.77 = 8,280.08/x
  3. Step 3: Cross multiply
    25,146.11x = 37,723.77 × 8,280.08
  4. Step 4: Simplify right side
    25,146.11x = 312,355,833.50
  5. Step 5: Solve for x
    x = 312,355,833.50/25,146.11
  6. Step 6: Final answer
    x = 12,421.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.