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Finding the Fourth Proportional to 14,122.86, 19,471.89 and 9,078.18

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Solution

The fourth proportional to 14,122.86, 19,471.89 and 9,078.18 is: 12,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.86 : 19,471.89 = 9,078.18 : x
  2. Step 2: Convert to fraction form
    14,122.86/19,471.89 = 9,078.18/x
  3. Step 3: Cross multiply
    14,122.86x = 19,471.89 × 9,078.18
  4. Step 4: Simplify right side
    14,122.86x = 176,769,322.36
  5. Step 5: Solve for x
    x = 176,769,322.36/14,122.86
  6. Step 6: Final answer
    x = 12,516.54

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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.