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Finding the Fourth Proportional to 16,533.84, 22,815.72 and 9,819.12

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Solution

The fourth proportional to 16,533.84, 22,815.72 and 9,819.12 is: 13,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.84 : 22,815.72 = 9,819.12 : x
  2. Step 2: Convert to fraction form
    16,533.84/22,815.72 = 9,819.12/x
  3. Step 3: Cross multiply
    16,533.84x = 22,815.72 × 9,819.12
  4. Step 4: Simplify right side
    16,533.84x = 224,030,292.57
  5. Step 5: Solve for x
    x = 224,030,292.57/16,533.84
  6. Step 6: Final answer
    x = 13,549.80

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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.