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Finding the Fourth Proportional to 15,541.77, 21,446.98 and 8,827.38

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Solution

The fourth proportional to 15,541.77, 21,446.98 and 8,827.38 is: 12,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541.77 : 21,446.98 = 8,827.38 : x
  2. Step 2: Convert to fraction form
    15,541.77/21,446.98 = 8,827.38/x
  3. Step 3: Cross multiply
    15,541.77x = 21,446.98 × 8,827.38
  4. Step 4: Simplify right side
    15,541.77x = 189,320,620.24
  5. Step 5: Solve for x
    x = 189,320,620.24/15,541.77
  6. Step 6: Final answer
    x = 12,181.40

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Why These Related Problems?

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