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Finding the Fourth Proportional to 64,022.06, 96,022.14 and 17,264

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Solution

The fourth proportional to 64,022.06, 96,022.14 and 17,264 is: 25,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,022.06 : 96,022.14 = 17,264 : x
  2. Step 2: Convert to fraction form
    64,022.06/96,022.14 = 17,264/x
  3. Step 3: Cross multiply
    64,022.06x = 96,022.14 × 17,264
  4. Step 4: Simplify right side
    64,022.06x = 1,657,726,224.96
  5. Step 5: Solve for x
    x = 1,657,726,224.96/64,022.06
  6. Step 6: Final answer
    x = 25,893.05

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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.