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Finding the Fourth Proportional to 16,588.75, 24,894.06 and 6,200.50

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Solution

The fourth proportional to 16,588.75, 24,894.06 and 6,200.50 is: 9,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.75 : 24,894.06 = 6,200.50 : x
  2. Step 2: Convert to fraction form
    16,588.75/24,894.06 = 6,200.50/x
  3. Step 3: Cross multiply
    16,588.75x = 24,894.06 × 6,200.50
  4. Step 4: Simplify right side
    16,588.75x = 154,355,619.03
  5. Step 5: Solve for x
    x = 154,355,619.03/16,588.75
  6. Step 6: Final answer
    x = 9,304.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.