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Finding the Fourth Proportional to 17,471.94, 24,111.18 and 10,398.30

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Solution

The fourth proportional to 17,471.94, 24,111.18 and 10,398.30 is: 14,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.94 : 24,111.18 = 10,398.30 : x
  2. Step 2: Convert to fraction form
    17,471.94/24,111.18 = 10,398.30/x
  3. Step 3: Cross multiply
    17,471.94x = 24,111.18 × 10,398.30
  4. Step 4: Simplify right side
    17,471.94x = 250,715,282.99
  5. Step 5: Solve for x
    x = 250,715,282.99/17,471.94
  6. Step 6: Final answer
    x = 14,349.60

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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.