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Finding the Fourth Proportional to 15,643.78, 23,435.42 and 8,697.22

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Solution

The fourth proportional to 15,643.78, 23,435.42 and 8,697.22 is: 13,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.78 : 23,435.42 = 8,697.22 : x
  2. Step 2: Convert to fraction form
    15,643.78/23,435.42 = 8,697.22/x
  3. Step 3: Cross multiply
    15,643.78x = 23,435.42 × 8,697.22
  4. Step 4: Simplify right side
    15,643.78x = 203,823,003.53
  5. Step 5: Solve for x
    x = 203,823,003.53/15,643.78
  6. Step 6: Final answer
    x = 13,029.01

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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.