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Finding the Fourth Proportional to 31,803.88, 43,885.62 and 17,653.24

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Solution

The fourth proportional to 31,803.88, 43,885.62 and 17,653.24 is: 24,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.88 : 43,885.62 = 17,653.24 : x
  2. Step 2: Convert to fraction form
    31,803.88/43,885.62 = 17,653.24/x
  3. Step 3: Cross multiply
    31,803.88x = 43,885.62 × 17,653.24
  4. Step 4: Simplify right side
    31,803.88x = 774,723,382.41
  5. Step 5: Solve for x
    x = 774,723,382.41/31,803.88
  6. Step 6: Final answer
    x = 24,359.40

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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.