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Finding the Fourth Proportional to 17,458.74, 24,086.94 and 10,384.20

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Solution

The fourth proportional to 17,458.74, 24,086.94 and 10,384.20 is: 14,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.74 : 24,086.94 = 10,384.20 : x
  2. Step 2: Convert to fraction form
    17,458.74/24,086.94 = 10,384.20/x
  3. Step 3: Cross multiply
    17,458.74x = 24,086.94 × 10,384.20
  4. Step 4: Simplify right side
    17,458.74x = 250,123,602.35
  5. Step 5: Solve for x
    x = 250,123,602.35/17,458.74
  6. Step 6: Final answer
    x = 14,326.56

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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.