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Finding the Fourth Proportional to 21,909.44, 30,222.78 and 14,357

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Solution

The fourth proportional to 21,909.44, 30,222.78 and 14,357 is: 19,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.44 : 30,222.78 = 14,357 : x
  2. Step 2: Convert to fraction form
    21,909.44/30,222.78 = 14,357/x
  3. Step 3: Cross multiply
    21,909.44x = 30,222.78 × 14,357
  4. Step 4: Simplify right side
    21,909.44x = 433,908,452.46
  5. Step 5: Solve for x
    x = 433,908,452.46/21,909.44
  6. Step 6: Final answer
    x = 19,804.63

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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.