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Finding the Fourth Proportional to 15,971.98, 23,957.14 and 6,110.50

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Solution

The fourth proportional to 15,971.98, 23,957.14 and 6,110.50 is: 9,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.98 : 23,957.14 = 6,110.50 : x
  2. Step 2: Convert to fraction form
    15,971.98/23,957.14 = 6,110.50/x
  3. Step 3: Cross multiply
    15,971.98x = 23,957.14 × 6,110.50
  4. Step 4: Simplify right side
    15,971.98x = 146,390,103.97
  5. Step 5: Solve for x
    x = 146,390,103.97/15,971.98
  6. Step 6: Final answer
    x = 9,165.43

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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.