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Finding the Fourth Proportional to 22,653.14, 31,261.53 and 13,219.86

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Solution

The fourth proportional to 22,653.14, 31,261.53 and 13,219.86 is: 18,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.14 : 31,261.53 = 13,219.86 : x
  2. Step 2: Convert to fraction form
    22,653.14/31,261.53 = 13,219.86/x
  3. Step 3: Cross multiply
    22,653.14x = 31,261.53 × 13,219.86
  4. Step 4: Simplify right side
    22,653.14x = 413,273,049.99
  5. Step 5: Solve for x
    x = 413,273,049.99/22,653.14
  6. Step 6: Final answer
    x = 18,243.52

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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.