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Finding the Fourth Proportional to 23,313.25, 34,975.37 and 7,730.88

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Solution

The fourth proportional to 23,313.25, 34,975.37 and 7,730.88 is: 11,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313.25 : 34,975.37 = 7,730.88 : x
  2. Step 2: Convert to fraction form
    23,313.25/34,975.37 = 7,730.88/x
  3. Step 3: Cross multiply
    23,313.25x = 34,975.37 × 7,730.88
  4. Step 4: Simplify right side
    23,313.25x = 270,390,388.43
  5. Step 5: Solve for x
    x = 270,390,388.43/23,313.25
  6. Step 6: Final answer
    x = 11,598.14

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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.