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Finding the Fourth Proportional to 19,596.50, 27,042.38 and 10,643.76

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Solution

The fourth proportional to 19,596.50, 27,042.38 and 10,643.76 is: 14,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.50 : 27,042.38 = 10,643.76 : x
  2. Step 2: Convert to fraction form
    19,596.50/27,042.38 = 10,643.76/x
  3. Step 3: Cross multiply
    19,596.50x = 27,042.38 × 10,643.76
  4. Step 4: Simplify right side
    19,596.50x = 287,832,602.55
  5. Step 5: Solve for x
    x = 287,832,602.55/19,596.50
  6. Step 6: Final answer
    x = 14,687.96

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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.