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Finding the Fourth Proportional to 23,161.79, 34,742.32 and 7,366.59

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Solution

The fourth proportional to 23,161.79, 34,742.32 and 7,366.59 is: 11,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.79 : 34,742.32 = 7,366.59 : x
  2. Step 2: Convert to fraction form
    23,161.79/34,742.32 = 7,366.59/x
  3. Step 3: Cross multiply
    23,161.79x = 34,742.32 × 7,366.59
  4. Step 4: Simplify right side
    23,161.79x = 255,932,557.37
  5. Step 5: Solve for x
    x = 255,932,557.37/23,161.79
  6. Step 6: Final answer
    x = 11,049.77

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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.