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Finding the Fourth Proportional to 15,285.20, 22,893.90 and 11,749.14

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Solution

The fourth proportional to 15,285.20, 22,893.90 and 11,749.14 is: 17,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.20 : 22,893.90 = 11,749.14 : x
  2. Step 2: Convert to fraction form
    15,285.20/22,893.90 = 11,749.14/x
  3. Step 3: Cross multiply
    15,285.20x = 22,893.90 × 11,749.14
  4. Step 4: Simplify right side
    15,285.20x = 268,983,636.25
  5. Step 5: Solve for x
    x = 268,983,636.25/15,285.20
  6. Step 6: Final answer
    x = 17,597.66

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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.