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Finding the Fourth Proportional to 21,349.50, 32,023.55 and 9,662.71

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Solution

The fourth proportional to 21,349.50, 32,023.55 and 9,662.71 is: 14,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.50 : 32,023.55 = 9,662.71 : x
  2. Step 2: Convert to fraction form
    21,349.50/32,023.55 = 9,662.71/x
  3. Step 3: Cross multiply
    21,349.50x = 32,023.55 × 9,662.71
  4. Step 4: Simplify right side
    21,349.50x = 309,434,276.82
  5. Step 5: Solve for x
    x = 309,434,276.82/21,349.50
  6. Step 6: Final answer
    x = 14,493.75

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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.