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Finding the Fourth Proportional to 25,206, 37,800.96 and 8,335.88

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Solution

The fourth proportional to 25,206, 37,800.96 and 8,335.88 is: 12,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206 : 37,800.96 = 8,335.88 : x
  2. Step 2: Convert to fraction form
    25,206/37,800.96 = 8,335.88/x
  3. Step 3: Cross multiply
    25,206x = 37,800.96 × 8,335.88
  4. Step 4: Simplify right side
    25,206x = 315,104,266.44
  5. Step 5: Solve for x
    x = 315,104,266.44/25,206
  6. Step 6: Final answer
    x = 12,501.16

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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.