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Finding the Fourth Proportional to 19,597.01, 27,043.92 and 10,644.50

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Solution

The fourth proportional to 19,597.01, 27,043.92 and 10,644.50 is: 14,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.01 : 27,043.92 = 10,644.50 : x
  2. Step 2: Convert to fraction form
    19,597.01/27,043.92 = 10,644.50/x
  3. Step 3: Cross multiply
    19,597.01x = 27,043.92 × 10,644.50
  4. Step 4: Simplify right side
    19,597.01x = 287,869,006.44
  5. Step 5: Solve for x
    x = 287,869,006.44/19,597.01
  6. Step 6: Final answer
    x = 14,689.44

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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.