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Finding the Fourth Proportional to 22,202.94, 30,660.52 and 14,259.00

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Solution

The fourth proportional to 22,202.94, 30,660.52 and 14,259.00 is: 19,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.94 : 30,660.52 = 14,259.00 : x
  2. Step 2: Convert to fraction form
    22,202.94/30,660.52 = 14,259.00/x
  3. Step 3: Cross multiply
    22,202.94x = 30,660.52 × 14,259.00
  4. Step 4: Simplify right side
    22,202.94x = 437,188,447.38
  5. Step 5: Solve for x
    x = 437,188,447.38/22,202.94
  6. Step 6: Final answer
    x = 19,690.57

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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.