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Finding the Fourth Proportional to 13,670.46, 20,498.59 and 6,268.55

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Solution

The fourth proportional to 13,670.46, 20,498.59 and 6,268.55 is: 9,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.46 : 20,498.59 = 6,268.55 : x
  2. Step 2: Convert to fraction form
    13,670.46/20,498.59 = 6,268.55/x
  3. Step 3: Cross multiply
    13,670.46x = 20,498.59 × 6,268.55
  4. Step 4: Simplify right side
    13,670.46x = 128,496,436.34
  5. Step 5: Solve for x
    x = 128,496,436.34/13,670.46
  6. Step 6: Final answer
    x = 9,399.57

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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.