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Finding the Fourth Proportional to 23,646.14, 35,474.40 and 7,007.48

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Solution

The fourth proportional to 23,646.14, 35,474.40 and 7,007.48 is: 10,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.14 : 35,474.40 = 7,007.48 : x
  2. Step 2: Convert to fraction form
    23,646.14/35,474.40 = 7,007.48/x
  3. Step 3: Cross multiply
    23,646.14x = 35,474.40 × 7,007.48
  4. Step 4: Simplify right side
    23,646.14x = 248,586,130.45
  5. Step 5: Solve for x
    x = 248,586,130.45/23,646.14
  6. Step 6: Final answer
    x = 10,512.76

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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.