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Finding the Fourth Proportional to 12,142.32, 18,208.69 and 5,900.49

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Solution

The fourth proportional to 12,142.32, 18,208.69 and 5,900.49 is: 8,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.32 : 18,208.69 = 5,900.49 : x
  2. Step 2: Convert to fraction form
    12,142.32/18,208.69 = 5,900.49/x
  3. Step 3: Cross multiply
    12,142.32x = 18,208.69 × 5,900.49
  4. Step 4: Simplify right side
    12,142.32x = 107,440,102.21
  5. Step 5: Solve for x
    x = 107,440,102.21/12,142.32
  6. Step 6: Final answer
    x = 8,848.40

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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.