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Finding the Fourth Proportional to 15,411.84, 23,106.97 and 7,896.93

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Solution

The fourth proportional to 15,411.84, 23,106.97 and 7,896.93 is: 11,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.84 : 23,106.97 = 7,896.93 : x
  2. Step 2: Convert to fraction form
    15,411.84/23,106.97 = 7,896.93/x
  3. Step 3: Cross multiply
    15,411.84x = 23,106.97 × 7,896.93
  4. Step 4: Simplify right side
    15,411.84x = 182,474,047.82
  5. Step 5: Solve for x
    x = 182,474,047.82/15,411.84
  6. Step 6: Final answer
    x = 11,839.86

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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.