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Finding the Fourth Proportional to 13,707.44, 20,561.90 and 4,348.17

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Solution

The fourth proportional to 13,707.44, 20,561.90 and 4,348.17 is: 6,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.44 : 20,561.90 = 4,348.17 : x
  2. Step 2: Convert to fraction form
    13,707.44/20,561.90 = 4,348.17/x
  3. Step 3: Cross multiply
    13,707.44x = 20,561.90 × 4,348.17
  4. Step 4: Simplify right side
    13,707.44x = 89,406,639.44
  5. Step 5: Solve for x
    x = 89,406,639.44/13,707.44
  6. Step 6: Final answer
    x = 6,522.49

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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.