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Finding the Fourth Proportional to 15,736.34, 23,597.06 and 5,734.06

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Solution

The fourth proportional to 15,736.34, 23,597.06 and 5,734.06 is: 8,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.34 : 23,597.06 = 5,734.06 : x
  2. Step 2: Convert to fraction form
    15,736.34/23,597.06 = 5,734.06/x
  3. Step 3: Cross multiply
    15,736.34x = 23,597.06 × 5,734.06
  4. Step 4: Simplify right side
    15,736.34x = 135,306,870.20
  5. Step 5: Solve for x
    x = 135,306,870.20/15,736.34
  6. Step 6: Final answer
    x = 8,598.37

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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.