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Finding the Fourth Proportional to 15,750.24, 23,640 and 7,964.64

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Solution

The fourth proportional to 15,750.24, 23,640 and 7,964.64 is: 11,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,750.24 : 23,640 = 7,964.64 : x
  2. Step 2: Convert to fraction form
    15,750.24/23,640 = 7,964.64/x
  3. Step 3: Cross multiply
    15,750.24x = 23,640 × 7,964.64
  4. Step 4: Simplify right side
    15,750.24x = 188,284,089.60
  5. Step 5: Solve for x
    x = 188,284,089.60/15,750.24
  6. Step 6: Final answer
    x = 11,954.36

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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.