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Finding the Fourth Proportional to 23,420.04, 35,133.56 and 7,834

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Solution

The fourth proportional to 23,420.04, 35,133.56 and 7,834 is: 11,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.04 : 35,133.56 = 7,834 : x
  2. Step 2: Convert to fraction form
    23,420.04/35,133.56 = 7,834/x
  3. Step 3: Cross multiply
    23,420.04x = 35,133.56 × 7,834
  4. Step 4: Simplify right side
    23,420.04x = 275,236,309.04
  5. Step 5: Solve for x
    x = 275,236,309.04/23,420.04
  6. Step 6: Final answer
    x = 11,752.17

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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.