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Finding the Fourth Proportional to 16,733, 23,091.54 and 9,281

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Solution

The fourth proportional to 16,733, 23,091.54 and 9,281 is: 12,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733 : 23,091.54 = 9,281 : x
  2. Step 2: Convert to fraction form
    16,733/23,091.54 = 9,281/x
  3. Step 3: Cross multiply
    16,733x = 23,091.54 × 9,281
  4. Step 4: Simplify right side
    16,733x = 214,312,582.74
  5. Step 5: Solve for x
    x = 214,312,582.74/16,733
  6. Step 6: Final answer
    x = 12,807.78

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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.