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Finding the Fourth Proportional to 13,740.66, 20,594.10 and 6,334.84

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Solution

The fourth proportional to 13,740.66, 20,594.10 and 6,334.84 is: 9,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.66 : 20,594.10 = 6,334.84 : x
  2. Step 2: Convert to fraction form
    13,740.66/20,594.10 = 6,334.84/x
  3. Step 3: Cross multiply
    13,740.66x = 20,594.10 × 6,334.84
  4. Step 4: Simplify right side
    13,740.66x = 130,460,328.44
  5. Step 5: Solve for x
    x = 130,460,328.44/13,740.66
  6. Step 6: Final answer
    x = 9,494.47

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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.