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Finding the Fourth Proportional to 19,596.68, 27,042.64 and 10,644

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Solution

The fourth proportional to 19,596.68, 27,042.64 and 10,644 is: 14,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.68 : 27,042.64 = 10,644 : x
  2. Step 2: Convert to fraction form
    19,596.68/27,042.64 = 10,644/x
  3. Step 3: Cross multiply
    19,596.68x = 27,042.64 × 10,644
  4. Step 4: Simplify right side
    19,596.68x = 287,841,860.16
  5. Step 5: Solve for x
    x = 287,841,860.16/19,596.68
  6. Step 6: Final answer
    x = 14,688.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.