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Finding the Fourth Proportional to 14,422.44, 19,896.60 and 9,578.16

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Solution

The fourth proportional to 14,422.44, 19,896.60 and 9,578.16 is: 13,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.44 : 19,896.60 = 9,578.16 : x
  2. Step 2: Convert to fraction form
    14,422.44/19,896.60 = 9,578.16/x
  3. Step 3: Cross multiply
    14,422.44x = 19,896.60 × 9,578.16
  4. Step 4: Simplify right side
    14,422.44x = 190,572,818.26
  5. Step 5: Solve for x
    x = 190,572,818.26/14,422.44
  6. Step 6: Final answer
    x = 13,213.63

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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.