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Finding the Fourth Proportional to 12,063.84, 16,639.20 and 7,584

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Solution

The fourth proportional to 12,063.84, 16,639.20 and 7,584 is: 10,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063.84 : 16,639.20 = 7,584 : x
  2. Step 2: Convert to fraction form
    12,063.84/16,639.20 = 7,584/x
  3. Step 3: Cross multiply
    12,063.84x = 16,639.20 × 7,584
  4. Step 4: Simplify right side
    12,063.84x = 126,191,692.80
  5. Step 5: Solve for x
    x = 126,191,692.80/12,063.84
  6. Step 6: Final answer
    x = 10,460.33

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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.