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Finding the Fourth Proportional to 15,855.32, 21,882.49 and 9,140.83

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Solution

The fourth proportional to 15,855.32, 21,882.49 and 9,140.83 is: 12,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.32 : 21,882.49 = 9,140.83 : x
  2. Step 2: Convert to fraction form
    15,855.32/21,882.49 = 9,140.83/x
  3. Step 3: Cross multiply
    15,855.32x = 21,882.49 × 9,140.83
  4. Step 4: Simplify right side
    15,855.32x = 200,024,043.51
  5. Step 5: Solve for x
    x = 200,024,043.51/15,855.32
  6. Step 6: Final answer
    x = 12,615.58

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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.