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Finding the Fourth Proportional to 17,782.83, 26,681.43 and 7,915.37

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Solution

The fourth proportional to 17,782.83, 26,681.43 and 7,915.37 is: 11,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.83 : 26,681.43 = 7,915.37 : x
  2. Step 2: Convert to fraction form
    17,782.83/26,681.43 = 7,915.37/x
  3. Step 3: Cross multiply
    17,782.83x = 26,681.43 × 7,915.37
  4. Step 4: Simplify right side
    17,782.83x = 211,193,257.17
  5. Step 5: Solve for x
    x = 211,193,257.17/17,782.83
  6. Step 6: Final answer
    x = 11,876.25

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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.