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Finding the Fourth Proportional to 23,686.41, 35,522.22 and 7,887.76

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Solution

The fourth proportional to 23,686.41, 35,522.22 and 7,887.76 is: 11,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.41 : 35,522.22 = 7,887.76 : x
  2. Step 2: Convert to fraction form
    23,686.41/35,522.22 = 7,887.76/x
  3. Step 3: Cross multiply
    23,686.41x = 35,522.22 × 7,887.76
  4. Step 4: Simplify right side
    23,686.41x = 280,190,746.03
  5. Step 5: Solve for x
    x = 280,190,746.03/23,686.41
  6. Step 6: Final answer
    x = 11,829.18

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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.