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Finding the Fourth Proportional to 15,821.65, 21,834.31 and 8,748.32

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Solution

The fourth proportional to 15,821.65, 21,834.31 and 8,748.32 is: 12,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.65 : 21,834.31 = 8,748.32 : x
  2. Step 2: Convert to fraction form
    15,821.65/21,834.31 = 8,748.32/x
  3. Step 3: Cross multiply
    15,821.65x = 21,834.31 × 8,748.32
  4. Step 4: Simplify right side
    15,821.65x = 191,013,508.99
  5. Step 5: Solve for x
    x = 191,013,508.99/15,821.65
  6. Step 6: Final answer
    x = 12,072.92

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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.