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Finding the Fourth Proportional to 15,205.50, 22,808.10 and 6,439.14

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Solution

The fourth proportional to 15,205.50, 22,808.10 and 6,439.14 is: 9,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.50 : 22,808.10 = 6,439.14 : x
  2. Step 2: Convert to fraction form
    15,205.50/22,808.10 = 6,439.14/x
  3. Step 3: Cross multiply
    15,205.50x = 22,808.10 × 6,439.14
  4. Step 4: Simplify right side
    15,205.50x = 146,864,549.03
  5. Step 5: Solve for x
    x = 146,864,549.03/15,205.50
  6. Step 6: Final answer
    x = 9,658.65

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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.