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Finding the Fourth Proportional to 14,224.34, 21,333.31 and 7,987.14

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Solution

The fourth proportional to 14,224.34, 21,333.31 and 7,987.14 is: 11,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.34 : 21,333.31 = 7,987.14 : x
  2. Step 2: Convert to fraction form
    14,224.34/21,333.31 = 7,987.14/x
  3. Step 3: Cross multiply
    14,224.34x = 21,333.31 × 7,987.14
  4. Step 4: Simplify right side
    14,224.34x = 170,392,113.67
  5. Step 5: Solve for x
    x = 170,392,113.67/14,224.34
  6. Step 6: Final answer
    x = 11,978.91

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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.