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Finding the Fourth Proportional to 14,414.74, 21,624.33 and 6,094.79

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Solution

The fourth proportional to 14,414.74, 21,624.33 and 6,094.79 is: 9,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.74 : 21,624.33 = 6,094.79 : x
  2. Step 2: Convert to fraction form
    14,414.74/21,624.33 = 6,094.79/x
  3. Step 3: Cross multiply
    14,414.74x = 21,624.33 × 6,094.79
  4. Step 4: Simplify right side
    14,414.74x = 131,795,746.07
  5. Step 5: Solve for x
    x = 131,795,746.07/14,414.74
  6. Step 6: Final answer
    x = 9,143.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.