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Finding the Fourth Proportional to 23,045.13, 34,572.02 and 7,460.73

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Solution

The fourth proportional to 23,045.13, 34,572.02 and 7,460.73 is: 11,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.13 : 34,572.02 = 7,460.73 : x
  2. Step 2: Convert to fraction form
    23,045.13/34,572.02 = 7,460.73/x
  3. Step 3: Cross multiply
    23,045.13x = 34,572.02 × 7,460.73
  4. Step 4: Simplify right side
    23,045.13x = 257,932,469.47
  5. Step 5: Solve for x
    x = 257,932,469.47/23,045.13
  6. Step 6: Final answer
    x = 11,192.49

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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.