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Finding the Fourth Proportional to 13,734.93, 20,588.03 and 6,344.24

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Solution

The fourth proportional to 13,734.93, 20,588.03 and 6,344.24 is: 9,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.93 : 20,588.03 = 6,344.24 : x
  2. Step 2: Convert to fraction form
    13,734.93/20,588.03 = 6,344.24/x
  3. Step 3: Cross multiply
    13,734.93x = 20,588.03 × 6,344.24
  4. Step 4: Simplify right side
    13,734.93x = 130,615,300.51
  5. Step 5: Solve for x
    x = 130,615,300.51/13,734.93
  6. Step 6: Final answer
    x = 9,509.72

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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.