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Finding the Fourth Proportional to 20,175.99, 30,263.68 and 9,074.84

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Solution

The fourth proportional to 20,175.99, 30,263.68 and 9,074.84 is: 13,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.99 : 30,263.68 = 9,074.84 : x
  2. Step 2: Convert to fraction form
    20,175.99/30,263.68 = 9,074.84/x
  3. Step 3: Cross multiply
    20,175.99x = 30,263.68 × 9,074.84
  4. Step 4: Simplify right side
    20,175.99x = 274,637,862.79
  5. Step 5: Solve for x
    x = 274,637,862.79/20,175.99
  6. Step 6: Final answer
    x = 13,612.12

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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.