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Finding the Fourth Proportional to 20,176.99, 30,265.18 and 9,075.84

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Solution

The fourth proportional to 20,176.99, 30,265.18 and 9,075.84 is: 13,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.99 : 30,265.18 = 9,075.84 : x
  2. Step 2: Convert to fraction form
    20,176.99/30,265.18 = 9,075.84/x
  3. Step 3: Cross multiply
    20,176.99x = 30,265.18 × 9,075.84
  4. Step 4: Simplify right side
    20,176.99x = 274,681,931.25
  5. Step 5: Solve for x
    x = 274,681,931.25/20,176.99
  6. Step 6: Final answer
    x = 13,613.62

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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.