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Finding the Fourth Proportional to 23,825.46, 35,726.64 and 7,182.39

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Solution

The fourth proportional to 23,825.46, 35,726.64 and 7,182.39 is: 10,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.46 : 35,726.64 = 7,182.39 : x
  2. Step 2: Convert to fraction form
    23,825.46/35,726.64 = 7,182.39/x
  3. Step 3: Cross multiply
    23,825.46x = 35,726.64 × 7,182.39
  4. Step 4: Simplify right side
    23,825.46x = 256,602,661.87
  5. Step 5: Solve for x
    x = 256,602,661.87/23,825.46
  6. Step 6: Final answer
    x = 10,770.10

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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.