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Finding the Fourth Proportional to 19,506.31, 29,246.20 and 7,652.65

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Solution

The fourth proportional to 19,506.31, 29,246.20 and 7,652.65 is: 11,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.31 : 29,246.20 = 7,652.65 : x
  2. Step 2: Convert to fraction form
    19,506.31/29,246.20 = 7,652.65/x
  3. Step 3: Cross multiply
    19,506.31x = 29,246.20 × 7,652.65
  4. Step 4: Simplify right side
    19,506.31x = 223,810,932.43
  5. Step 5: Solve for x
    x = 223,810,932.43/19,506.31
  6. Step 6: Final answer
    x = 11,473.77

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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.