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Finding the Fourth Proportional to 19,591.58, 27,035.79 and 10,638.92

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Solution

The fourth proportional to 19,591.58, 27,035.79 and 10,638.92 is: 14,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.58 : 27,035.79 = 10,638.92 : x
  2. Step 2: Convert to fraction form
    19,591.58/27,035.79 = 10,638.92/x
  3. Step 3: Cross multiply
    19,591.58x = 27,035.79 × 10,638.92
  4. Step 4: Simplify right side
    19,591.58x = 287,631,606.95
  5. Step 5: Solve for x
    x = 287,631,606.95/19,591.58
  6. Step 6: Final answer
    x = 14,681.39

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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.