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Finding the Fourth Proportional to 19,846.57, 29,763.25 and 5,807.40

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Solution

The fourth proportional to 19,846.57, 29,763.25 and 5,807.40 is: 8,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.57 : 29,763.25 = 5,807.40 : x
  2. Step 2: Convert to fraction form
    19,846.57/29,763.25 = 5,807.40/x
  3. Step 3: Cross multiply
    19,846.57x = 29,763.25 × 5,807.40
  4. Step 4: Simplify right side
    19,846.57x = 172,846,971.92
  5. Step 5: Solve for x
    x = 172,846,971.92/19,846.57
  6. Step 6: Final answer
    x = 8,709.16

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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.