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Finding the Fourth Proportional to 19,458.50, 29,182.68 and 6,977.07

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Solution

The fourth proportional to 19,458.50, 29,182.68 and 6,977.07 is: 10,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458.50 : 29,182.68 = 6,977.07 : x
  2. Step 2: Convert to fraction form
    19,458.50/29,182.68 = 6,977.07/x
  3. Step 3: Cross multiply
    19,458.50x = 29,182.68 × 6,977.07
  4. Step 4: Simplify right side
    19,458.50x = 203,609,601.15
  5. Step 5: Solve for x
    x = 203,609,601.15/19,458.50
  6. Step 6: Final answer
    x = 10,463.79

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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.