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Finding the Fourth Proportional to 14,244.96, 19,659.04 and 8,278.40

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Solution

The fourth proportional to 14,244.96, 19,659.04 and 8,278.40 is: 11,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.96 : 19,659.04 = 8,278.40 : x
  2. Step 2: Convert to fraction form
    14,244.96/19,659.04 = 8,278.40/x
  3. Step 3: Cross multiply
    14,244.96x = 19,659.04 × 8,278.40
  4. Step 4: Simplify right side
    14,244.96x = 162,745,396.74
  5. Step 5: Solve for x
    x = 162,745,396.74/14,244.96
  6. Step 6: Final answer
    x = 11,424.77

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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.