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Finding the Fourth Proportional to 14,143.86, 19,523.97 and 9,426.42

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Solution

The fourth proportional to 14,143.86, 19,523.97 and 9,426.42 is: 13,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.86 : 19,523.97 = 9,426.42 : x
  2. Step 2: Convert to fraction form
    14,143.86/19,523.97 = 9,426.42/x
  3. Step 3: Cross multiply
    14,143.86x = 19,523.97 × 9,426.42
  4. Step 4: Simplify right side
    14,143.86x = 184,041,141.29
  5. Step 5: Solve for x
    x = 184,041,141.29/14,143.86
  6. Step 6: Final answer
    x = 13,012.09

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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.