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Finding the Fourth Proportional to 14,638.08, 21,938.31 and 7,617.12

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Solution

The fourth proportional to 14,638.08, 21,938.31 and 7,617.12 is: 11,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.08 : 21,938.31 = 7,617.12 : x
  2. Step 2: Convert to fraction form
    14,638.08/21,938.31 = 7,617.12/x
  3. Step 3: Cross multiply
    14,638.08x = 21,938.31 × 7,617.12
  4. Step 4: Simplify right side
    14,638.08x = 167,106,739.87
  5. Step 5: Solve for x
    x = 167,106,739.87/14,638.08
  6. Step 6: Final answer
    x = 11,415.89

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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.