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Finding the Fourth Proportional to 14,279.46, 19,684.98 and 9,796.20

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Solution

The fourth proportional to 14,279.46, 19,684.98 and 9,796.20 is: 13,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,279.46 : 19,684.98 = 9,796.20 : x
  2. Step 2: Convert to fraction form
    14,279.46/19,684.98 = 9,796.20/x
  3. Step 3: Cross multiply
    14,279.46x = 19,684.98 × 9,796.20
  4. Step 4: Simplify right side
    14,279.46x = 192,838,001.08
  5. Step 5: Solve for x
    x = 192,838,001.08/14,279.46
  6. Step 6: Final answer
    x = 13,504.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.