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Finding the Fourth Proportional to 23,420.40, 35,128.44 and 7,838.16

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Solution

The fourth proportional to 23,420.40, 35,128.44 and 7,838.16 is: 11,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.40 : 35,128.44 = 7,838.16 : x
  2. Step 2: Convert to fraction form
    23,420.40/35,128.44 = 7,838.16/x
  3. Step 3: Cross multiply
    23,420.40x = 35,128.44 × 7,838.16
  4. Step 4: Simplify right side
    23,420.40x = 275,342,333.27
  5. Step 5: Solve for x
    x = 275,342,333.27/23,420.40
  6. Step 6: Final answer
    x = 11,756.52

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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.