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Finding the Fourth Proportional to 19,895.81, 29,817.56 and 8,202.53

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Solution

The fourth proportional to 19,895.81, 29,817.56 and 8,202.53 is: 12,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,895.81 : 29,817.56 = 8,202.53 : x
  2. Step 2: Convert to fraction form
    19,895.81/29,817.56 = 8,202.53/x
  3. Step 3: Cross multiply
    19,895.81x = 29,817.56 × 8,202.53
  4. Step 4: Simplify right side
    19,895.81x = 244,579,389.41
  5. Step 5: Solve for x
    x = 244,579,389.41/19,895.81
  6. Step 6: Final answer
    x = 12,293.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.