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Finding the Fourth Proportional to 16,485, 22,748.82 and 9,678.91

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Solution

The fourth proportional to 16,485, 22,748.82 and 9,678.91 is: 13,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485 : 22,748.82 = 9,678.91 : x
  2. Step 2: Convert to fraction form
    16,485/22,748.82 = 9,678.91/x
  3. Step 3: Cross multiply
    16,485x = 22,748.82 × 9,678.91
  4. Step 4: Simplify right side
    16,485x = 220,183,781.39
  5. Step 5: Solve for x
    x = 220,183,781.39/16,485
  6. Step 6: Final answer
    x = 13,356.61

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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.