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Finding the Fourth Proportional to 29,455, 40,647.90 and 16,207

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Solution

The fourth proportional to 29,455, 40,647.90 and 16,207 is: 22,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,455 : 40,647.90 = 16,207 : x
  2. Step 2: Convert to fraction form
    29,455/40,647.90 = 16,207/x
  3. Step 3: Cross multiply
    29,455x = 40,647.90 × 16,207
  4. Step 4: Simplify right side
    29,455x = 658,780,515.30
  5. Step 5: Solve for x
    x = 658,780,515.30/29,455
  6. Step 6: Final answer
    x = 22,365.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.