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Finding the Fourth Proportional to 24,329.68, 36,467.85 and 9,522.34

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Solution

The fourth proportional to 24,329.68, 36,467.85 and 9,522.34 is: 14,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329.68 : 36,467.85 = 9,522.34 : x
  2. Step 2: Convert to fraction form
    24,329.68/36,467.85 = 9,522.34/x
  3. Step 3: Cross multiply
    24,329.68x = 36,467.85 × 9,522.34
  4. Step 4: Simplify right side
    24,329.68x = 347,259,266.77
  5. Step 5: Solve for x
    x = 347,259,266.77/24,329.68
  6. Step 6: Final answer
    x = 14,273.07

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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.