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Finding the Fourth Proportional to 15,807.75, 21,811.26 and 9,431.43

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Solution

The fourth proportional to 15,807.75, 21,811.26 and 9,431.43 is: 13,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.75 : 21,811.26 = 9,431.43 : x
  2. Step 2: Convert to fraction form
    15,807.75/21,811.26 = 9,431.43/x
  3. Step 3: Cross multiply
    15,807.75x = 21,811.26 × 9,431.43
  4. Step 4: Simplify right side
    15,807.75x = 205,711,371.90
  5. Step 5: Solve for x
    x = 205,711,371.90/15,807.75
  6. Step 6: Final answer
    x = 13,013.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.