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Finding the Fourth Proportional to 13,000.83, 19,504.50 and 7,460.43

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Solution

The fourth proportional to 13,000.83, 19,504.50 and 7,460.43 is: 11,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.83 : 19,504.50 = 7,460.43 : x
  2. Step 2: Convert to fraction form
    13,000.83/19,504.50 = 7,460.43/x
  3. Step 3: Cross multiply
    13,000.83x = 19,504.50 × 7,460.43
  4. Step 4: Simplify right side
    13,000.83x = 145,511,956.94
  5. Step 5: Solve for x
    x = 145,511,956.94/13,000.83
  6. Step 6: Final answer
    x = 11,192.51

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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.