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Finding the Fourth Proportional to 16,580.56, 24,870.03 and 6,191.50

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Solution

The fourth proportional to 16,580.56, 24,870.03 and 6,191.50 is: 9,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.56 : 24,870.03 = 6,191.50 : x
  2. Step 2: Convert to fraction form
    16,580.56/24,870.03 = 6,191.50/x
  3. Step 3: Cross multiply
    16,580.56x = 24,870.03 × 6,191.50
  4. Step 4: Simplify right side
    16,580.56x = 153,982,790.75
  5. Step 5: Solve for x
    x = 153,982,790.75/16,580.56
  6. Step 6: Final answer
    x = 9,286.95

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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.