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Finding the Fourth Proportional to 14,474.96, 19,972.85 and 8,507.83

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Solution

The fourth proportional to 14,474.96, 19,972.85 and 8,507.83 is: 11,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.96 : 19,972.85 = 8,507.83 : x
  2. Step 2: Convert to fraction form
    14,474.96/19,972.85 = 8,507.83/x
  3. Step 3: Cross multiply
    14,474.96x = 19,972.85 × 8,507.83
  4. Step 4: Simplify right side
    14,474.96x = 169,925,612.42
  5. Step 5: Solve for x
    x = 169,925,612.42/14,474.96
  6. Step 6: Final answer
    x = 11,739.28

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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.