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Finding the Fourth Proportional to 23,505.12, 32,407.56 and 17,206.56

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Solution

The fourth proportional to 23,505.12, 32,407.56 and 17,206.56 is: 23,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.12 : 32,407.56 = 17,206.56 : x
  2. Step 2: Convert to fraction form
    23,505.12/32,407.56 = 17,206.56/x
  3. Step 3: Cross multiply
    23,505.12x = 32,407.56 × 17,206.56
  4. Step 4: Simplify right side
    23,505.12x = 557,622,625.59
  5. Step 5: Solve for x
    x = 557,622,625.59/23,505.12
  6. Step 6: Final answer
    x = 23,723.45

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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.