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Finding the Fourth Proportional to 15,821.10, 21,832.02 and 8,747.46

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Solution

The fourth proportional to 15,821.10, 21,832.02 and 8,747.46 is: 12,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.10 : 21,832.02 = 8,747.46 : x
  2. Step 2: Convert to fraction form
    15,821.10/21,832.02 = 8,747.46/x
  3. Step 3: Cross multiply
    15,821.10x = 21,832.02 × 8,747.46
  4. Step 4: Simplify right side
    15,821.10x = 190,974,721.67
  5. Step 5: Solve for x
    x = 190,974,721.67/15,821.10
  6. Step 6: Final answer
    x = 12,070.89

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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.