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Finding the Fourth Proportional to 10,997.80, 16,471.16 and 10,915.84

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Solution

The fourth proportional to 10,997.80, 16,471.16 and 10,915.84 is: 16,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.80 : 16,471.16 = 10,915.84 : x
  2. Step 2: Convert to fraction form
    10,997.80/16,471.16 = 10,915.84/x
  3. Step 3: Cross multiply
    10,997.80x = 16,471.16 × 10,915.84
  4. Step 4: Simplify right side
    10,997.80x = 179,796,547.17
  5. Step 5: Solve for x
    x = 179,796,547.17/10,997.80
  6. Step 6: Final answer
    x = 16,348.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.