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Finding the Fourth Proportional to 22,296, 30,773.28 and 13,345.50

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Solution

The fourth proportional to 22,296, 30,773.28 and 13,345.50 is: 18,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296 : 30,773.28 = 13,345.50 : x
  2. Step 2: Convert to fraction form
    22,296/30,773.28 = 13,345.50/x
  3. Step 3: Cross multiply
    22,296x = 30,773.28 × 13,345.50
  4. Step 4: Simplify right side
    22,296x = 410,684,808.24
  5. Step 5: Solve for x
    x = 410,684,808.24/22,296
  6. Step 6: Final answer
    x = 18,419.66

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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.