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Finding the Fourth Proportional to 15,311.70, 22,974.84 and 9,075.24

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Solution

The fourth proportional to 15,311.70, 22,974.84 and 9,075.24 is: 13,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.70 : 22,974.84 = 9,075.24 : x
  2. Step 2: Convert to fraction form
    15,311.70/22,974.84 = 9,075.24/x
  3. Step 3: Cross multiply
    15,311.70x = 22,974.84 × 9,075.24
  4. Step 4: Simplify right side
    15,311.70x = 208,502,186.96
  5. Step 5: Solve for x
    x = 208,502,186.96/15,311.70
  6. Step 6: Final answer
    x = 13,617.18

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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.