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Finding the Fourth Proportional to 19,732.50, 29,603.88 and 5,881.50

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Solution

The fourth proportional to 19,732.50, 29,603.88 and 5,881.50 is: 8,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.50 : 29,603.88 = 5,881.50 : x
  2. Step 2: Convert to fraction form
    19,732.50/29,603.88 = 5,881.50/x
  3. Step 3: Cross multiply
    19,732.50x = 29,603.88 × 5,881.50
  4. Step 4: Simplify right side
    19,732.50x = 174,115,220.22
  5. Step 5: Solve for x
    x = 174,115,220.22/19,732.50
  6. Step 6: Final answer
    x = 8,823.78

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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.