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Finding the Fourth Proportional to 12,523.01, 18,783.95 and 4,202.42

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Solution

The fourth proportional to 12,523.01, 18,783.95 and 4,202.42 is: 6,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.01 : 18,783.95 = 4,202.42 : x
  2. Step 2: Convert to fraction form
    12,523.01/18,783.95 = 4,202.42/x
  3. Step 3: Cross multiply
    12,523.01x = 18,783.95 × 4,202.42
  4. Step 4: Simplify right side
    12,523.01x = 78,937,932.23
  5. Step 5: Solve for x
    x = 78,937,932.23/12,523.01
  6. Step 6: Final answer
    x = 6,303.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.