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Finding the Fourth Proportional to 19,098.96, 28,593 and 11,680.77

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Solution

The fourth proportional to 19,098.96, 28,593 and 11,680.77 is: 17,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.96 : 28,593 = 11,680.77 : x
  2. Step 2: Convert to fraction form
    19,098.96/28,593 = 11,680.77/x
  3. Step 3: Cross multiply
    19,098.96x = 28,593 × 11,680.77
  4. Step 4: Simplify right side
    19,098.96x = 333,988,363.83
  5. Step 5: Solve for x
    x = 333,988,363.83/19,098.96
  6. Step 6: Final answer
    x = 17,487.26

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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.