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Finding the Fourth Proportional to 14,580.86, 20,116.55 and 8,206.16

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Solution

The fourth proportional to 14,580.86, 20,116.55 and 8,206.16 is: 11,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.86 : 20,116.55 = 8,206.16 : x
  2. Step 2: Convert to fraction form
    14,580.86/20,116.55 = 8,206.16/x
  3. Step 3: Cross multiply
    14,580.86x = 20,116.55 × 8,206.16
  4. Step 4: Simplify right side
    14,580.86x = 165,079,527.37
  5. Step 5: Solve for x
    x = 165,079,527.37/14,580.86
  6. Step 6: Final answer
    x = 11,321.66

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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.