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Finding the Fourth Proportional to 14,382.98, 21,586.74 and 5,624.06

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Solution

The fourth proportional to 14,382.98, 21,586.74 and 5,624.06 is: 8,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.98 : 21,586.74 = 5,624.06 : x
  2. Step 2: Convert to fraction form
    14,382.98/21,586.74 = 5,624.06/x
  3. Step 3: Cross multiply
    14,382.98x = 21,586.74 × 5,624.06
  4. Step 4: Simplify right side
    14,382.98x = 121,405,120.96
  5. Step 5: Solve for x
    x = 121,405,120.96/14,382.98
  6. Step 6: Final answer
    x = 8,440.89

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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.