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Finding the Fourth Proportional to 23,969.04, 35,947.32 and 9,933

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Solution

The fourth proportional to 23,969.04, 35,947.32 and 9,933 is: 14,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.04 : 35,947.32 = 9,933 : x
  2. Step 2: Convert to fraction form
    23,969.04/35,947.32 = 9,933/x
  3. Step 3: Cross multiply
    23,969.04x = 35,947.32 × 9,933
  4. Step 4: Simplify right side
    23,969.04x = 357,064,729.56
  5. Step 5: Solve for x
    x = 357,064,729.56/23,969.04
  6. Step 6: Final answer
    x = 14,896.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.