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Finding the Fourth Proportional to 22,223.86, 30,644.49 and 14,263.06

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Solution

The fourth proportional to 22,223.86, 30,644.49 and 14,263.06 is: 19,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223.86 : 30,644.49 = 14,263.06 : x
  2. Step 2: Convert to fraction form
    22,223.86/30,644.49 = 14,263.06/x
  3. Step 3: Cross multiply
    22,223.86x = 30,644.49 × 14,263.06
  4. Step 4: Simplify right side
    22,223.86x = 437,084,199.54
  5. Step 5: Solve for x
    x = 437,084,199.54/22,223.86
  6. Step 6: Final answer
    x = 19,667.34

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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.