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Finding the Fourth Proportional to 22,935.53, 31,646.22 and 14,989.43

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Solution

The fourth proportional to 22,935.53, 31,646.22 and 14,989.43 is: 20,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.53 : 31,646.22 = 14,989.43 : x
  2. Step 2: Convert to fraction form
    22,935.53/31,646.22 = 14,989.43/x
  3. Step 3: Cross multiply
    22,935.53x = 31,646.22 × 14,989.43
  4. Step 4: Simplify right side
    22,935.53x = 474,358,799.45
  5. Step 5: Solve for x
    x = 474,358,799.45/22,935.53
  6. Step 6: Final answer
    x = 20,682.27

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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.