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Finding the Fourth Proportional to 19,049.84, 28,593.23 and 9,196.05

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Solution

The fourth proportional to 19,049.84, 28,593.23 and 9,196.05 is: 13,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.84 : 28,593.23 = 9,196.05 : x
  2. Step 2: Convert to fraction form
    19,049.84/28,593.23 = 9,196.05/x
  3. Step 3: Cross multiply
    19,049.84x = 28,593.23 × 9,196.05
  4. Step 4: Simplify right side
    19,049.84x = 262,944,772.74
  5. Step 5: Solve for x
    x = 262,944,772.74/19,049.84
  6. Step 6: Final answer
    x = 13,802.99

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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.