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Finding the Fourth Proportional to 13,971.92, 19,289.24 and 9,262.60

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Solution

The fourth proportional to 13,971.92, 19,289.24 and 9,262.60 is: 12,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.92 : 19,289.24 = 9,262.60 : x
  2. Step 2: Convert to fraction form
    13,971.92/19,289.24 = 9,262.60/x
  3. Step 3: Cross multiply
    13,971.92x = 19,289.24 × 9,262.60
  4. Step 4: Simplify right side
    13,971.92x = 178,668,514.42
  5. Step 5: Solve for x
    x = 178,668,514.42/13,971.92
  6. Step 6: Final answer
    x = 12,787.69

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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.