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Finding the Fourth Proportional to 14,833.93, 20,470.71 and 8,119.42

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Solution

The fourth proportional to 14,833.93, 20,470.71 and 8,119.42 is: 11,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.93 : 20,470.71 = 8,119.42 : x
  2. Step 2: Convert to fraction form
    14,833.93/20,470.71 = 8,119.42/x
  3. Step 3: Cross multiply
    14,833.93x = 20,470.71 × 8,119.42
  4. Step 4: Simplify right side
    14,833.93x = 166,210,292.19
  5. Step 5: Solve for x
    x = 166,210,292.19/14,833.93
  6. Step 6: Final answer
    x = 11,204.74

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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.