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Finding the Fourth Proportional to 23,044.32, 34,564.32 and 7,462.08

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Solution

The fourth proportional to 23,044.32, 34,564.32 and 7,462.08 is: 11,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044.32 : 34,564.32 = 7,462.08 : x
  2. Step 2: Convert to fraction form
    23,044.32/34,564.32 = 7,462.08/x
  3. Step 3: Cross multiply
    23,044.32x = 34,564.32 × 7,462.08
  4. Step 4: Simplify right side
    23,044.32x = 257,921,720.99
  5. Step 5: Solve for x
    x = 257,921,720.99/23,044.32
  6. Step 6: Final answer
    x = 11,192.42

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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.