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Finding the Fourth Proportional to 23,046.66, 34,575.03 and 7,465.86

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Solution

The fourth proportional to 23,046.66, 34,575.03 and 7,465.86 is: 11,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.66 : 34,575.03 = 7,465.86 : x
  2. Step 2: Convert to fraction form
    23,046.66/34,575.03 = 7,465.86/x
  3. Step 3: Cross multiply
    23,046.66x = 34,575.03 × 7,465.86
  4. Step 4: Simplify right side
    23,046.66x = 258,132,333.48
  5. Step 5: Solve for x
    x = 258,132,333.48/23,046.66
  6. Step 6: Final answer
    x = 11,200.42

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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.