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Finding the Fourth Proportional to 15,838.44, 21,857.02 and 8,764.86

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Solution

The fourth proportional to 15,838.44, 21,857.02 and 8,764.86 is: 12,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.44 : 21,857.02 = 8,764.86 : x
  2. Step 2: Convert to fraction form
    15,838.44/21,857.02 = 8,764.86/x
  3. Step 3: Cross multiply
    15,838.44x = 21,857.02 × 8,764.86
  4. Step 4: Simplify right side
    15,838.44x = 191,573,720.32
  5. Step 5: Solve for x
    x = 191,573,720.32/15,838.44
  6. Step 6: Final answer
    x = 12,095.49

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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.