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Finding the Fourth Proportional to 22,553.16, 33,832.98 and 6,972

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Solution

The fourth proportional to 22,553.16, 33,832.98 and 6,972 is: 10,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,553.16 : 33,832.98 = 6,972 : x
  2. Step 2: Convert to fraction form
    22,553.16/33,832.98 = 6,972/x
  3. Step 3: Cross multiply
    22,553.16x = 33,832.98 × 6,972
  4. Step 4: Simplify right side
    22,553.16x = 235,883,536.56
  5. Step 5: Solve for x
    x = 235,883,536.56/22,553.16
  6. Step 6: Final answer
    x = 10,459.00

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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.