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Finding the Fourth Proportional to 20,223.86, 27,907.07 and 13,064.16

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Solution

The fourth proportional to 20,223.86, 27,907.07 and 13,064.16 is: 18,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.86 : 27,907.07 = 13,064.16 : x
  2. Step 2: Convert to fraction form
    20,223.86/27,907.07 = 13,064.16/x
  3. Step 3: Cross multiply
    20,223.86x = 27,907.07 × 13,064.16
  4. Step 4: Simplify right side
    20,223.86x = 364,582,362.29
  5. Step 5: Solve for x
    x = 364,582,362.29/20,223.86
  6. Step 6: Final answer
    x = 18,027.34

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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.