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Finding the Fourth Proportional to 14,658.40, 21,962.40 and 6,851.20

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Solution

The fourth proportional to 14,658.40, 21,962.40 and 6,851.20 is: 10,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.40 : 21,962.40 = 6,851.20 : x
  2. Step 2: Convert to fraction form
    14,658.40/21,962.40 = 6,851.20/x
  3. Step 3: Cross multiply
    14,658.40x = 21,962.40 × 6,851.20
  4. Step 4: Simplify right side
    14,658.40x = 150,468,794.88
  5. Step 5: Solve for x
    x = 150,468,794.88/14,658.40
  6. Step 6: Final answer
    x = 10,265.02

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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.