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Finding the Fourth Proportional to 23,349, 32,221.62 and 14,965.50

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Solution

The fourth proportional to 23,349, 32,221.62 and 14,965.50 is: 20,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349 : 32,221.62 = 14,965.50 : x
  2. Step 2: Convert to fraction form
    23,349/32,221.62 = 14,965.50/x
  3. Step 3: Cross multiply
    23,349x = 32,221.62 × 14,965.50
  4. Step 4: Simplify right side
    23,349x = 482,212,654.11
  5. Step 5: Solve for x
    x = 482,212,654.11/23,349
  6. Step 6: Final answer
    x = 20,652.39

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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.