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Finding the Fourth Proportional to 23,099.56, 31,889.64 and 17,782.72

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Solution

The fourth proportional to 23,099.56, 31,889.64 and 17,782.72 is: 24,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099.56 : 31,889.64 = 17,782.72 : x
  2. Step 2: Convert to fraction form
    23,099.56/31,889.64 = 17,782.72/x
  3. Step 3: Cross multiply
    23,099.56x = 31,889.64 × 17,782.72
  4. Step 4: Simplify right side
    23,099.56x = 567,084,539.02
  5. Step 5: Solve for x
    x = 567,084,539.02/23,099.56
  6. Step 6: Final answer
    x = 24,549.58

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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.