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Finding the Fourth Proportional to 19,806, 29,710.68 and 5,955

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Solution

The fourth proportional to 19,806, 29,710.68 and 5,955 is: 8,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 29,710.68 = 5,955 : x
  2. Step 2: Convert to fraction form
    19,806/29,710.68 = 5,955/x
  3. Step 3: Cross multiply
    19,806x = 29,710.68 × 5,955
  4. Step 4: Simplify right side
    19,806x = 176,927,099.40
  5. Step 5: Solve for x
    x = 176,927,099.40/19,806
  6. Step 6: Final answer
    x = 8,933.01

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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.