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Finding the Fourth Proportional to 34,412.89, 51,624.47 and 12,224.40

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Solution

The fourth proportional to 34,412.89, 51,624.47 and 12,224.40 is: 18,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.89 : 51,624.47 = 12,224.40 : x
  2. Step 2: Convert to fraction form
    34,412.89/51,624.47 = 12,224.40/x
  3. Step 3: Cross multiply
    34,412.89x = 51,624.47 × 12,224.40
  4. Step 4: Simplify right side
    34,412.89x = 631,078,171.07
  5. Step 5: Solve for x
    x = 631,078,171.07/34,412.89
  6. Step 6: Final answer
    x = 18,338.42

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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.