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Finding the Fourth Proportional to 20,205.77, 30,322.53 and 7,058.17

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Solution

The fourth proportional to 20,205.77, 30,322.53 and 7,058.17 is: 10,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.77 : 30,322.53 = 7,058.17 : x
  2. Step 2: Convert to fraction form
    20,205.77/30,322.53 = 7,058.17/x
  3. Step 3: Cross multiply
    20,205.77x = 30,322.53 × 7,058.17
  4. Step 4: Simplify right side
    20,205.77x = 214,021,384.67
  5. Step 5: Solve for x
    x = 214,021,384.67/20,205.77
  6. Step 6: Final answer
    x = 10,592.09

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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.