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Finding the Fourth Proportional to 14,180.65, 21,266.19 and 5,294.14

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Solution

The fourth proportional to 14,180.65, 21,266.19 and 5,294.14 is: 7,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.65 : 21,266.19 = 5,294.14 : x
  2. Step 2: Convert to fraction form
    14,180.65/21,266.19 = 5,294.14/x
  3. Step 3: Cross multiply
    14,180.65x = 21,266.19 × 5,294.14
  4. Step 4: Simplify right side
    14,180.65x = 112,586,205.00
  5. Step 5: Solve for x
    x = 112,586,205.00/14,180.65
  6. Step 6: Final answer
    x = 7,939.42

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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.