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Finding the Fourth Proportional to 16,283.84, 22,473.32 and 9,910.88

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Solution

The fourth proportional to 16,283.84, 22,473.32 and 9,910.88 is: 13,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.84 : 22,473.32 = 9,910.88 : x
  2. Step 2: Convert to fraction form
    16,283.84/22,473.32 = 9,910.88/x
  3. Step 3: Cross multiply
    16,283.84x = 22,473.32 × 9,910.88
  4. Step 4: Simplify right side
    16,283.84x = 222,730,377.72
  5. Step 5: Solve for x
    x = 222,730,377.72/16,283.84
  6. Step 6: Final answer
    x = 13,678.00

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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.