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Finding the Fourth Proportional to 25,508.66, 38,263.08 and 7,739.48

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Solution

The fourth proportional to 25,508.66, 38,263.08 and 7,739.48 is: 11,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.66 : 38,263.08 = 7,739.48 : x
  2. Step 2: Convert to fraction form
    25,508.66/38,263.08 = 7,739.48/x
  3. Step 3: Cross multiply
    25,508.66x = 38,263.08 × 7,739.48
  4. Step 4: Simplify right side
    25,508.66x = 296,136,342.40
  5. Step 5: Solve for x
    x = 296,136,342.40/25,508.66
  6. Step 6: Final answer
    x = 11,609.25

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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.