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Finding the Fourth Proportional to 15,872.92, 21,904.47 and 8,703.24

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Solution

The fourth proportional to 15,872.92, 21,904.47 and 8,703.24 is: 12,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.92 : 21,904.47 = 8,703.24 : x
  2. Step 2: Convert to fraction form
    15,872.92/21,904.47 = 8,703.24/x
  3. Step 3: Cross multiply
    15,872.92x = 21,904.47 × 8,703.24
  4. Step 4: Simplify right side
    15,872.92x = 190,639,777.34
  5. Step 5: Solve for x
    x = 190,639,777.34/15,872.92
  6. Step 6: Final answer
    x = 12,010.38

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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.