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Finding the Fourth Proportional to 11,859.02, 16,318.23 and 11,498.30

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Solution

The fourth proportional to 11,859.02, 16,318.23 and 11,498.30 is: 15,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.02 : 16,318.23 = 11,498.30 : x
  2. Step 2: Convert to fraction form
    11,859.02/16,318.23 = 11,498.30/x
  3. Step 3: Cross multiply
    11,859.02x = 16,318.23 × 11,498.30
  4. Step 4: Simplify right side
    11,859.02x = 187,631,904.01
  5. Step 5: Solve for x
    x = 187,631,904.01/11,859.02
  6. Step 6: Final answer
    x = 15,821.87

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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.