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Finding the Fourth Proportional to 23,747, 35,620.56 and 9,896

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Solution

The fourth proportional to 23,747, 35,620.56 and 9,896 is: 14,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747 : 35,620.56 = 9,896 : x
  2. Step 2: Convert to fraction form
    23,747/35,620.56 = 9,896/x
  3. Step 3: Cross multiply
    23,747x = 35,620.56 × 9,896
  4. Step 4: Simplify right side
    23,747x = 352,501,061.76
  5. Step 5: Solve for x
    x = 352,501,061.76/23,747
  6. Step 6: Final answer
    x = 14,844.03

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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.