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Finding the Fourth Proportional to 13,974.90, 19,285.43 and 7,601.52

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Solution

The fourth proportional to 13,974.90, 19,285.43 and 7,601.52 is: 10,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.90 : 19,285.43 = 7,601.52 : x
  2. Step 2: Convert to fraction form
    13,974.90/19,285.43 = 7,601.52/x
  3. Step 3: Cross multiply
    13,974.90x = 19,285.43 × 7,601.52
  4. Step 4: Simplify right side
    13,974.90x = 146,598,586.60
  5. Step 5: Solve for x
    x = 146,598,586.60/13,974.90
  6. Step 6: Final answer
    x = 10,490.13

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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.