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Finding the Fourth Proportional to 19,688.34, 27,169.31 and 10,736.02

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Solution

The fourth proportional to 19,688.34, 27,169.31 and 10,736.02 is: 14,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.34 : 27,169.31 = 10,736.02 : x
  2. Step 2: Convert to fraction form
    19,688.34/27,169.31 = 10,736.02/x
  3. Step 3: Cross multiply
    19,688.34x = 27,169.31 × 10,736.02
  4. Step 4: Simplify right side
    19,688.34x = 291,690,214.46
  5. Step 5: Solve for x
    x = 291,690,214.46/19,688.34
  6. Step 6: Final answer
    x = 14,815.38

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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.