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Finding the Fourth Proportional to 19,069.50, 28,612.89 and 9,206.94

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Solution

The fourth proportional to 19,069.50, 28,612.89 and 9,206.94 is: 13,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069.50 : 28,612.89 = 9,206.94 : x
  2. Step 2: Convert to fraction form
    19,069.50/28,612.89 = 9,206.94/x
  3. Step 3: Cross multiply
    19,069.50x = 28,612.89 × 9,206.94
  4. Step 4: Simplify right side
    19,069.50x = 263,437,161.46
  5. Step 5: Solve for x
    x = 263,437,161.46/19,069.50
  6. Step 6: Final answer
    x = 13,814.58

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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.