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Finding the Fourth Proportional to 13,707.64, 20,534.05 and 6,301.95

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Solution

The fourth proportional to 13,707.64, 20,534.05 and 6,301.95 is: 9,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.64 : 20,534.05 = 6,301.95 : x
  2. Step 2: Convert to fraction form
    13,707.64/20,534.05 = 6,301.95/x
  3. Step 3: Cross multiply
    13,707.64x = 20,534.05 × 6,301.95
  4. Step 4: Simplify right side
    13,707.64x = 129,404,556.40
  5. Step 5: Solve for x
    x = 129,404,556.40/13,707.64
  6. Step 6: Final answer
    x = 9,440.32

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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.