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Finding the Fourth Proportional to 15,883.10, 21,917.12 and 8,809.38

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Solution

The fourth proportional to 15,883.10, 21,917.12 and 8,809.38 is: 12,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.10 : 21,917.12 = 8,809.38 : x
  2. Step 2: Convert to fraction form
    15,883.10/21,917.12 = 8,809.38/x
  3. Step 3: Cross multiply
    15,883.10x = 21,917.12 × 8,809.38
  4. Step 4: Simplify right side
    15,883.10x = 193,076,238.59
  5. Step 5: Solve for x
    x = 193,076,238.59/15,883.10
  6. Step 6: Final answer
    x = 12,156.08

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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.