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Finding the Fourth Proportional to 14,640.79, 20,184.69 and 9,597.13

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Solution

The fourth proportional to 14,640.79, 20,184.69 and 9,597.13 is: 13,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.79 : 20,184.69 = 9,597.13 : x
  2. Step 2: Convert to fraction form
    14,640.79/20,184.69 = 9,597.13/x
  3. Step 3: Cross multiply
    14,640.79x = 20,184.69 × 9,597.13
  4. Step 4: Simplify right side
    14,640.79x = 193,715,093.94
  5. Step 5: Solve for x
    x = 193,715,093.94/14,640.79
  6. Step 6: Final answer
    x = 13,231.19

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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.