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Finding the Fourth Proportional to 23,165.40, 34,744.86 and 7,581

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Solution

The fourth proportional to 23,165.40, 34,744.86 and 7,581 is: 11,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.40 : 34,744.86 = 7,581 : x
  2. Step 2: Convert to fraction form
    23,165.40/34,744.86 = 7,581/x
  3. Step 3: Cross multiply
    23,165.40x = 34,744.86 × 7,581
  4. Step 4: Simplify right side
    23,165.40x = 263,400,783.66
  5. Step 5: Solve for x
    x = 263,400,783.66/23,165.40
  6. Step 6: Final answer
    x = 11,370.44

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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.