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Finding the Fourth Proportional to 22,589.12, 31,168.80 and 12,653.12

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Solution

The fourth proportional to 22,589.12, 31,168.80 and 12,653.12 is: 17,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.12 : 31,168.80 = 12,653.12 : x
  2. Step 2: Convert to fraction form
    22,589.12/31,168.80 = 12,653.12/x
  3. Step 3: Cross multiply
    22,589.12x = 31,168.80 × 12,653.12
  4. Step 4: Simplify right side
    22,589.12x = 394,382,566.66
  5. Step 5: Solve for x
    x = 394,382,566.66/22,589.12
  6. Step 6: Final answer
    x = 17,458.96

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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.