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Finding the Fourth Proportional to 29,214.88, 43,817.84 and 9,493.28

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Solution

The fourth proportional to 29,214.88, 43,817.84 and 9,493.28 is: 14,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.88 : 43,817.84 = 9,493.28 : x
  2. Step 2: Convert to fraction form
    29,214.88/43,817.84 = 9,493.28/x
  3. Step 3: Cross multiply
    29,214.88x = 43,817.84 × 9,493.28
  4. Step 4: Simplify right side
    29,214.88x = 415,975,024.12
  5. Step 5: Solve for x
    x = 415,975,024.12/29,214.88
  6. Step 6: Final answer
    x = 14,238.46

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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.