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Finding the Fourth Proportional to 24,733.87, 34,178 and 18,007.82

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Solution

The fourth proportional to 24,733.87, 34,178 and 18,007.82 is: 24,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.87 : 34,178 = 18,007.82 : x
  2. Step 2: Convert to fraction form
    24,733.87/34,178 = 18,007.82/x
  3. Step 3: Cross multiply
    24,733.87x = 34,178 × 18,007.82
  4. Step 4: Simplify right side
    24,733.87x = 615,471,271.96
  5. Step 5: Solve for x
    x = 615,471,271.96/24,733.87
  6. Step 6: Final answer
    x = 24,883.74

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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.