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Finding the Fourth Proportional to 19,804.88, 29,707.70 and 7,318.46

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Solution

The fourth proportional to 19,804.88, 29,707.70 and 7,318.46 is: 10,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.88 : 29,707.70 = 7,318.46 : x
  2. Step 2: Convert to fraction form
    19,804.88/29,707.70 = 7,318.46/x
  3. Step 3: Cross multiply
    19,804.88x = 29,707.70 × 7,318.46
  4. Step 4: Simplify right side
    19,804.88x = 217,414,429.01
  5. Step 5: Solve for x
    x = 217,414,429.01/19,804.88
  6. Step 6: Final answer
    x = 10,977.82

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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.