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Finding the Fourth Proportional to 15,096.96, 22,651.85 and 8,075.15

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Solution

The fourth proportional to 15,096.96, 22,651.85 and 8,075.15 is: 12,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.96 : 22,651.85 = 8,075.15 : x
  2. Step 2: Convert to fraction form
    15,096.96/22,651.85 = 8,075.15/x
  3. Step 3: Cross multiply
    15,096.96x = 22,651.85 × 8,075.15
  4. Step 4: Simplify right side
    15,096.96x = 182,917,009.71
  5. Step 5: Solve for x
    x = 182,917,009.71/15,096.96
  6. Step 6: Final answer
    x = 12,116.15

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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.