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Finding the Fourth Proportional to 16,512.84, 22,784.16 and 9,800.70

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Solution

The fourth proportional to 16,512.84, 22,784.16 and 9,800.70 is: 13,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.84 : 22,784.16 = 9,800.70 : x
  2. Step 2: Convert to fraction form
    16,512.84/22,784.16 = 9,800.70/x
  3. Step 3: Cross multiply
    16,512.84x = 22,784.16 × 9,800.70
  4. Step 4: Simplify right side
    16,512.84x = 223,300,716.91
  5. Step 5: Solve for x
    x = 223,300,716.91/16,512.84
  6. Step 6: Final answer
    x = 13,522.85

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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.