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Finding the Fourth Proportional to 16,091.46, 22,207.77 and 9,374.94

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Solution

The fourth proportional to 16,091.46, 22,207.77 and 9,374.94 is: 12,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.46 : 22,207.77 = 9,374.94 : x
  2. Step 2: Convert to fraction form
    16,091.46/22,207.77 = 9,374.94/x
  3. Step 3: Cross multiply
    16,091.46x = 22,207.77 × 9,374.94
  4. Step 4: Simplify right side
    16,091.46x = 208,196,511.28
  5. Step 5: Solve for x
    x = 208,196,511.28/16,091.46
  6. Step 6: Final answer
    x = 12,938.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.