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Finding the Fourth Proportional to 19,131.34, 28,695.93 and 5,982.16

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Solution

The fourth proportional to 19,131.34, 28,695.93 and 5,982.16 is: 8,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,131.34 : 28,695.93 = 5,982.16 : x
  2. Step 2: Convert to fraction form
    19,131.34/28,695.93 = 5,982.16/x
  3. Step 3: Cross multiply
    19,131.34x = 28,695.93 × 5,982.16
  4. Step 4: Simplify right side
    19,131.34x = 171,663,644.61
  5. Step 5: Solve for x
    x = 171,663,644.61/19,131.34
  6. Step 6: Final answer
    x = 8,972.90

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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.