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Finding the Fourth Proportional to 13,713.00, 20,569.20 and 6,317.46

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Solution

The fourth proportional to 13,713.00, 20,569.20 and 6,317.46 is: 9,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.00 : 20,569.20 = 6,317.46 : x
  2. Step 2: Convert to fraction form
    13,713.00/20,569.20 = 6,317.46/x
  3. Step 3: Cross multiply
    13,713.00x = 20,569.20 × 6,317.46
  4. Step 4: Simplify right side
    13,713.00x = 129,945,122.34
  5. Step 5: Solve for x
    x = 129,945,122.34/13,713.00
  6. Step 6: Final answer
    x = 9,476.05

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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.