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Finding the Fourth Proportional to 10,843.84, 16,187.28 and 10,032.22

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Solution

The fourth proportional to 10,843.84, 16,187.28 and 10,032.22 is: 14,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.84 : 16,187.28 = 10,032.22 : x
  2. Step 2: Convert to fraction form
    10,843.84/16,187.28 = 10,032.22/x
  3. Step 3: Cross multiply
    10,843.84x = 16,187.28 × 10,032.22
  4. Step 4: Simplify right side
    10,843.84x = 162,394,354.16
  5. Step 5: Solve for x
    x = 162,394,354.16/10,843.84
  6. Step 6: Final answer
    x = 14,975.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.