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Finding the Fourth Proportional to 25,199.72, 37,797.78 and 7,668.50

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Solution

The fourth proportional to 25,199.72, 37,797.78 and 7,668.50 is: 11,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.72 : 37,797.78 = 7,668.50 : x
  2. Step 2: Convert to fraction form
    25,199.72/37,797.78 = 7,668.50/x
  3. Step 3: Cross multiply
    25,199.72x = 37,797.78 × 7,668.50
  4. Step 4: Simplify right side
    25,199.72x = 289,852,275.93
  5. Step 5: Solve for x
    x = 289,852,275.93/25,199.72
  6. Step 6: Final answer
    x = 11,502.20

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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.