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Finding the Fourth Proportional to 23,823.77, 35,721.99 and 9,023.25

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Solution

The fourth proportional to 23,823.77, 35,721.99 and 9,023.25 is: 13,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.77 : 35,721.99 = 9,023.25 : x
  2. Step 2: Convert to fraction form
    23,823.77/35,721.99 = 9,023.25/x
  3. Step 3: Cross multiply
    23,823.77x = 35,721.99 × 9,023.25
  4. Step 4: Simplify right side
    23,823.77x = 322,328,353.91
  5. Step 5: Solve for x
    x = 322,328,353.91/23,823.77
  6. Step 6: Final answer
    x = 13,529.70

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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.