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Finding the Fourth Proportional to 23,752.96, 35,616.28 and 9,722.84

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Solution

The fourth proportional to 23,752.96, 35,616.28 and 9,722.84 is: 14,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.96 : 35,616.28 = 9,722.84 : x
  2. Step 2: Convert to fraction form
    23,752.96/35,616.28 = 9,722.84/x
  3. Step 3: Cross multiply
    23,752.96x = 35,616.28 × 9,722.84
  4. Step 4: Simplify right side
    23,752.96x = 346,291,391.84
  5. Step 5: Solve for x
    x = 346,291,391.84/23,752.96
  6. Step 6: Final answer
    x = 14,578.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.