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Finding the Fourth Proportional to 14,792.22, 20,409.57 and 9,494.28

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Solution

The fourth proportional to 14,792.22, 20,409.57 and 9,494.28 is: 13,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.22 : 20,409.57 = 9,494.28 : x
  2. Step 2: Convert to fraction form
    14,792.22/20,409.57 = 9,494.28/x
  3. Step 3: Cross multiply
    14,792.22x = 20,409.57 × 9,494.28
  4. Step 4: Simplify right side
    14,792.22x = 193,774,172.26
  5. Step 5: Solve for x
    x = 193,774,172.26/14,792.22
  6. Step 6: Final answer
    x = 13,099.74

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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.