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Finding the Fourth Proportional to 17,950.83, 24,771.75 and 10,398.53

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Solution

The fourth proportional to 17,950.83, 24,771.75 and 10,398.53 is: 14,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,950.83 : 24,771.75 = 10,398.53 : x
  2. Step 2: Convert to fraction form
    17,950.83/24,771.75 = 10,398.53/x
  3. Step 3: Cross multiply
    17,950.83x = 24,771.75 × 10,398.53
  4. Step 4: Simplify right side
    17,950.83x = 257,589,661.67
  5. Step 5: Solve for x
    x = 257,589,661.67/17,950.83
  6. Step 6: Final answer
    x = 14,349.74

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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.