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Finding the Fourth Proportional to 29,461.72, 44,196.74 and 9,464.51

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Solution

The fourth proportional to 29,461.72, 44,196.74 and 9,464.51 is: 14,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.72 : 44,196.74 = 9,464.51 : x
  2. Step 2: Convert to fraction form
    29,461.72/44,196.74 = 9,464.51/x
  3. Step 3: Cross multiply
    29,461.72x = 44,196.74 × 9,464.51
  4. Step 4: Simplify right side
    29,461.72x = 418,300,219.39
  5. Step 5: Solve for x
    x = 418,300,219.39/29,461.72
  6. Step 6: Final answer
    x = 14,198.09

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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.