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Finding the Fourth Proportional to 14,970, 20,658.60 and 8,346

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Solution

The fourth proportional to 14,970, 20,658.60 and 8,346 is: 11,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 20,658.60 = 8,346 : x
  2. Step 2: Convert to fraction form
    14,970/20,658.60 = 8,346/x
  3. Step 3: Cross multiply
    14,970x = 20,658.60 × 8,346
  4. Step 4: Simplify right side
    14,970x = 172,416,675.60
  5. Step 5: Solve for x
    x = 172,416,675.60/14,970
  6. Step 6: Final answer
    x = 11,517.48

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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.