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Finding the Fourth Proportional to 22,714.40, 31,333.56 and 16,428.80

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Solution

The fourth proportional to 22,714.40, 31,333.56 and 16,428.80 is: 22,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.40 : 31,333.56 = 16,428.80 : x
  2. Step 2: Convert to fraction form
    22,714.40/31,333.56 = 16,428.80/x
  3. Step 3: Cross multiply
    22,714.40x = 31,333.56 × 16,428.80
  4. Step 4: Simplify right side
    22,714.40x = 514,772,790.53
  5. Step 5: Solve for x
    x = 514,772,790.53/22,714.40
  6. Step 6: Final answer
    x = 22,662.84

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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.