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Finding the Fourth Proportional to 22,159.75, 30,580.46 and 12,223.75

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Solution

The fourth proportional to 22,159.75, 30,580.46 and 12,223.75 is: 16,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.75 : 30,580.46 = 12,223.75 : x
  2. Step 2: Convert to fraction form
    22,159.75/30,580.46 = 12,223.75/x
  3. Step 3: Cross multiply
    22,159.75x = 30,580.46 × 12,223.75
  4. Step 4: Simplify right side
    22,159.75x = 373,807,897.93
  5. Step 5: Solve for x
    x = 373,807,897.93/22,159.75
  6. Step 6: Final answer
    x = 16,868.78

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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.