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Finding the Fourth Proportional to 25,178.18, 37,764.81 and 7,648.16

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Solution

The fourth proportional to 25,178.18, 37,764.81 and 7,648.16 is: 11,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.18 : 37,764.81 = 7,648.16 : x
  2. Step 2: Convert to fraction form
    25,178.18/37,764.81 = 7,648.16/x
  3. Step 3: Cross multiply
    25,178.18x = 37,764.81 × 7,648.16
  4. Step 4: Simplify right side
    25,178.18x = 288,831,309.25
  5. Step 5: Solve for x
    x = 288,831,309.25/25,178.18
  6. Step 6: Final answer
    x = 11,471.49

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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.