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Finding the Fourth Proportional to 13,693.50, 20,542.95 and 4,334.91

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Solution

The fourth proportional to 13,693.50, 20,542.95 and 4,334.91 is: 6,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.50 : 20,542.95 = 4,334.91 : x
  2. Step 2: Convert to fraction form
    13,693.50/20,542.95 = 4,334.91/x
  3. Step 3: Cross multiply
    13,693.50x = 20,542.95 × 4,334.91
  4. Step 4: Simplify right side
    13,693.50x = 89,051,839.38
  5. Step 5: Solve for x
    x = 89,051,839.38/13,693.50
  6. Step 6: Final answer
    x = 6,503.22

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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.