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Finding the Fourth Proportional to 25,301.46, 37,952.20 and 7,769.01

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Solution

The fourth proportional to 25,301.46, 37,952.20 and 7,769.01 is: 11,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301.46 : 37,952.20 = 7,769.01 : x
  2. Step 2: Convert to fraction form
    25,301.46/37,952.20 = 7,769.01/x
  3. Step 3: Cross multiply
    25,301.46x = 37,952.20 × 7,769.01
  4. Step 4: Simplify right side
    25,301.46x = 294,851,129.65
  5. Step 5: Solve for x
    x = 294,851,129.65/25,301.46
  6. Step 6: Final answer
    x = 11,653.52

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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.