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Finding the Fourth Proportional to 24,075.29, 36,082.86 and 11,592.99

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Solution

The fourth proportional to 24,075.29, 36,082.86 and 11,592.99 is: 17,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.29 : 36,082.86 = 11,592.99 : x
  2. Step 2: Convert to fraction form
    24,075.29/36,082.86 = 11,592.99/x
  3. Step 3: Cross multiply
    24,075.29x = 36,082.86 × 11,592.99
  4. Step 4: Simplify right side
    24,075.29x = 418,308,235.15
  5. Step 5: Solve for x
    x = 418,308,235.15/24,075.29
  6. Step 6: Final answer
    x = 17,375.00

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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.