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Finding the Fourth Proportional to 13,605.38, 18,773.99 and 7,637.71

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Solution

The fourth proportional to 13,605.38, 18,773.99 and 7,637.71 is: 10,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.38 : 18,773.99 = 7,637.71 : x
  2. Step 2: Convert to fraction form
    13,605.38/18,773.99 = 7,637.71/x
  3. Step 3: Cross multiply
    13,605.38x = 18,773.99 × 7,637.71
  4. Step 4: Simplify right side
    13,605.38x = 143,390,206.04
  5. Step 5: Solve for x
    x = 143,390,206.04/13,605.38
  6. Step 6: Final answer
    x = 10,539.23

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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.