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Finding the Fourth Proportional to 14,446.68, 19,923.94 and 9,409

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Solution

The fourth proportional to 14,446.68, 19,923.94 and 9,409 is: 12,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.68 : 19,923.94 = 9,409 : x
  2. Step 2: Convert to fraction form
    14,446.68/19,923.94 = 9,409/x
  3. Step 3: Cross multiply
    14,446.68x = 19,923.94 × 9,409
  4. Step 4: Simplify right side
    14,446.68x = 187,464,351.46
  5. Step 5: Solve for x
    x = 187,464,351.46/14,446.68
  6. Step 6: Final answer
    x = 12,976.29

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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.