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Finding the Fourth Proportional to 19,298.84, 28,926.32 and 8,198.60

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Solution

The fourth proportional to 19,298.84, 28,926.32 and 8,198.60 is: 12,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.84 : 28,926.32 = 8,198.60 : x
  2. Step 2: Convert to fraction form
    19,298.84/28,926.32 = 8,198.60/x
  3. Step 3: Cross multiply
    19,298.84x = 28,926.32 × 8,198.60
  4. Step 4: Simplify right side
    19,298.84x = 237,155,141.53
  5. Step 5: Solve for x
    x = 237,155,141.53/19,298.84
  6. Step 6: Final answer
    x = 12,288.57

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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.