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Finding the Fourth Proportional to 17,582.94, 24,253.26 and 12,275.82

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Solution

The fourth proportional to 17,582.94, 24,253.26 and 12,275.82 is: 16,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.94 : 24,253.26 = 12,275.82 : x
  2. Step 2: Convert to fraction form
    17,582.94/24,253.26 = 12,275.82/x
  3. Step 3: Cross multiply
    17,582.94x = 24,253.26 × 12,275.82
  4. Step 4: Simplify right side
    17,582.94x = 297,728,654.17
  5. Step 5: Solve for x
    x = 297,728,654.17/17,582.94
  6. Step 6: Final answer
    x = 16,932.81

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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.