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Finding the Fourth Proportional to 15,852.53, 21,882.67 and 9,143.91

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Solution

The fourth proportional to 15,852.53, 21,882.67 and 9,143.91 is: 12,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.53 : 21,882.67 = 9,143.91 : x
  2. Step 2: Convert to fraction form
    15,852.53/21,882.67 = 9,143.91/x
  3. Step 3: Cross multiply
    15,852.53x = 21,882.67 × 9,143.91
  4. Step 4: Simplify right side
    15,852.53x = 200,093,142.18
  5. Step 5: Solve for x
    x = 200,093,142.18/15,852.53
  6. Step 6: Final answer
    x = 12,622.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.