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Finding the Fourth Proportional to 22,840.96, 34,262.40 and 11,164

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Solution

The fourth proportional to 22,840.96, 34,262.40 and 11,164 is: 16,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.96 : 34,262.40 = 11,164 : x
  2. Step 2: Convert to fraction form
    22,840.96/34,262.40 = 11,164/x
  3. Step 3: Cross multiply
    22,840.96x = 34,262.40 × 11,164
  4. Step 4: Simplify right side
    22,840.96x = 382,505,433.60
  5. Step 5: Solve for x
    x = 382,505,433.60/22,840.96
  6. Step 6: Final answer
    x = 16,746.47

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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.