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Finding the Fourth Proportional to 23,773.61, 35,650.29 and 9,723.89

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Solution

The fourth proportional to 23,773.61, 35,650.29 and 9,723.89 is: 14,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.61 : 35,650.29 = 9,723.89 : x
  2. Step 2: Convert to fraction form
    23,773.61/35,650.29 = 9,723.89/x
  3. Step 3: Cross multiply
    23,773.61x = 35,650.29 × 9,723.89
  4. Step 4: Simplify right side
    23,773.61x = 346,659,498.43
  5. Step 5: Solve for x
    x = 346,659,498.43/23,773.61
  6. Step 6: Final answer
    x = 14,581.69

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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.