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Finding the Fourth Proportional to 34,014.46, 51,021.84 and 11,828.02

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Solution

The fourth proportional to 34,014.46, 51,021.84 and 11,828.02 is: 17,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.46 : 51,021.84 = 11,828.02 : x
  2. Step 2: Convert to fraction form
    34,014.46/51,021.84 = 11,828.02/x
  3. Step 3: Cross multiply
    34,014.46x = 51,021.84 × 11,828.02
  4. Step 4: Simplify right side
    34,014.46x = 603,487,343.96
  5. Step 5: Solve for x
    x = 603,487,343.96/34,014.46
  6. Step 6: Final answer
    x = 17,742.08

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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.