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Finding the Fourth Proportional to 19,732, 29,603.13 and 5,881

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Solution

The fourth proportional to 19,732, 29,603.13 and 5,881 is: 8,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 29,603.13 = 5,881 : x
  2. Step 2: Convert to fraction form
    19,732/29,603.13 = 5,881/x
  3. Step 3: Cross multiply
    19,732x = 29,603.13 × 5,881
  4. Step 4: Simplify right side
    19,732x = 174,096,007.53
  5. Step 5: Solve for x
    x = 174,096,007.53/19,732
  6. Step 6: Final answer
    x = 8,823.03

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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.