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Finding the Fourth Proportional to 25,206.48, 37,806.48 and 8,565.84

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Solution

The fourth proportional to 25,206.48, 37,806.48 and 8,565.84 is: 12,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.48 : 37,806.48 = 8,565.84 : x
  2. Step 2: Convert to fraction form
    25,206.48/37,806.48 = 8,565.84/x
  3. Step 3: Cross multiply
    25,206.48x = 37,806.48 × 8,565.84
  4. Step 4: Simplify right side
    25,206.48x = 323,844,258.64
  5. Step 5: Solve for x
    x = 323,844,258.64/25,206.48
  6. Step 6: Final answer
    x = 12,847.66

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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.