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Finding the Fourth Proportional to 14,213.26, 19,614.06 and 7,840.47

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Solution

The fourth proportional to 14,213.26, 19,614.06 and 7,840.47 is: 10,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.26 : 19,614.06 = 7,840.47 : x
  2. Step 2: Convert to fraction form
    14,213.26/19,614.06 = 7,840.47/x
  3. Step 3: Cross multiply
    14,213.26x = 19,614.06 × 7,840.47
  4. Step 4: Simplify right side
    14,213.26x = 153,783,449.01
  5. Step 5: Solve for x
    x = 153,783,449.01/14,213.26
  6. Step 6: Final answer
    x = 10,819.72

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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.