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Finding the Fourth Proportional to 14,416.26, 19,894.44 and 7,792.26

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Solution

The fourth proportional to 14,416.26, 19,894.44 and 7,792.26 is: 10,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.26 : 19,894.44 = 7,792.26 : x
  2. Step 2: Convert to fraction form
    14,416.26/19,894.44 = 7,792.26/x
  3. Step 3: Cross multiply
    14,416.26x = 19,894.44 × 7,792.26
  4. Step 4: Simplify right side
    14,416.26x = 155,022,649.03
  5. Step 5: Solve for x
    x = 155,022,649.03/14,416.26
  6. Step 6: Final answer
    x = 10,753.32

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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.