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Finding the Fourth Proportional to 14,613.94, 20,169.09 and 9,582.40

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Solution

The fourth proportional to 14,613.94, 20,169.09 and 9,582.40 is: 13,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.94 : 20,169.09 = 9,582.40 : x
  2. Step 2: Convert to fraction form
    14,613.94/20,169.09 = 9,582.40/x
  3. Step 3: Cross multiply
    14,613.94x = 20,169.09 × 9,582.40
  4. Step 4: Simplify right side
    14,613.94x = 193,268,288.02
  5. Step 5: Solve for x
    x = 193,268,288.02/14,613.94
  6. Step 6: Final answer
    x = 13,224.93

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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.