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Finding the Fourth Proportional to 17,712.88, 24,393.36 and 17,659.48

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Solution

The fourth proportional to 17,712.88, 24,393.36 and 17,659.48 is: 24,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.88 : 24,393.36 = 17,659.48 : x
  2. Step 2: Convert to fraction form
    17,712.88/24,393.36 = 17,659.48/x
  3. Step 3: Cross multiply
    17,712.88x = 24,393.36 × 17,659.48
  4. Step 4: Simplify right side
    17,712.88x = 430,774,053.05
  5. Step 5: Solve for x
    x = 430,774,053.05/17,712.88
  6. Step 6: Final answer
    x = 24,319.82

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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.