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Finding the Fourth Proportional to 15,850.98, 23,782.54 and 9,615.45

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Solution

The fourth proportional to 15,850.98, 23,782.54 and 9,615.45 is: 14,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.98 : 23,782.54 = 9,615.45 : x
  2. Step 2: Convert to fraction form
    15,850.98/23,782.54 = 9,615.45/x
  3. Step 3: Cross multiply
    15,850.98x = 23,782.54 × 9,615.45
  4. Step 4: Simplify right side
    15,850.98x = 228,679,824.24
  5. Step 5: Solve for x
    x = 228,679,824.24/15,850.98
  6. Step 6: Final answer
    x = 14,426.86

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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.