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Finding the Fourth Proportional to 19,509.08, 29,264.90 and 6,857.30

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Solution

The fourth proportional to 19,509.08, 29,264.90 and 6,857.30 is: 10,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.08 : 29,264.90 = 6,857.30 : x
  2. Step 2: Convert to fraction form
    19,509.08/29,264.90 = 6,857.30/x
  3. Step 3: Cross multiply
    19,509.08x = 29,264.90 × 6,857.30
  4. Step 4: Simplify right side
    19,509.08x = 200,678,213.20
  5. Step 5: Solve for x
    x = 200,678,213.20/19,509.08
  6. Step 6: Final answer
    x = 10,286.40

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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.