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Finding the Fourth Proportional to 22,932.21, 31,633.03 and 14,420.87

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Solution

The fourth proportional to 22,932.21, 31,633.03 and 14,420.87 is: 19,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.21 : 31,633.03 = 14,420.87 : x
  2. Step 2: Convert to fraction form
    22,932.21/31,633.03 = 14,420.87/x
  3. Step 3: Cross multiply
    22,932.21x = 31,633.03 × 14,420.87
  4. Step 4: Simplify right side
    22,932.21x = 456,175,813.34
  5. Step 5: Solve for x
    x = 456,175,813.34/22,932.21
  6. Step 6: Final answer
    x = 19,892.36

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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.