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Finding the Fourth Proportional to 13,707.89, 20,534.43 and 6,302.20

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Solution

The fourth proportional to 13,707.89, 20,534.43 and 6,302.20 is: 9,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.89 : 20,534.43 = 6,302.20 : x
  2. Step 2: Convert to fraction form
    13,707.89/20,534.43 = 6,302.20/x
  3. Step 3: Cross multiply
    13,707.89x = 20,534.43 × 6,302.20
  4. Step 4: Simplify right side
    13,707.89x = 129,412,084.75
  5. Step 5: Solve for x
    x = 129,412,084.75/13,707.89
  6. Step 6: Final answer
    x = 9,440.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.