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Finding the Fourth Proportional to 15,238.57, 22,857.85 and 6,467.33

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Solution

The fourth proportional to 15,238.57, 22,857.85 and 6,467.33 is: 9,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.57 : 22,857.85 = 6,467.33 : x
  2. Step 2: Convert to fraction form
    15,238.57/22,857.85 = 6,467.33/x
  3. Step 3: Cross multiply
    15,238.57x = 22,857.85 × 6,467.33
  4. Step 4: Simplify right side
    15,238.57x = 147,829,259.04
  5. Step 5: Solve for x
    x = 147,829,259.04/15,238.57
  6. Step 6: Final answer
    x = 9,701.00

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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.