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Finding the Fourth Proportional to 15,950.34, 23,927.15 and 6,097.90

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Solution

The fourth proportional to 15,950.34, 23,927.15 and 6,097.90 is: 9,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,950.34 : 23,927.15 = 6,097.90 : x
  2. Step 2: Convert to fraction form
    15,950.34/23,927.15 = 6,097.90/x
  3. Step 3: Cross multiply
    15,950.34x = 23,927.15 × 6,097.90
  4. Step 4: Simplify right side
    15,950.34x = 145,905,367.99
  5. Step 5: Solve for x
    x = 145,905,367.99/15,950.34
  6. Step 6: Final answer
    x = 9,147.48

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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.