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Finding the Fourth Proportional to 14,289.62, 19,715.09 and 9,257.69

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Solution

The fourth proportional to 14,289.62, 19,715.09 and 9,257.69 is: 12,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.62 : 19,715.09 = 9,257.69 : x
  2. Step 2: Convert to fraction form
    14,289.62/19,715.09 = 9,257.69/x
  3. Step 3: Cross multiply
    14,289.62x = 19,715.09 × 9,257.69
  4. Step 4: Simplify right side
    14,289.62x = 182,516,194.54
  5. Step 5: Solve for x
    x = 182,516,194.54/14,289.62
  6. Step 6: Final answer
    x = 12,772.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.