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Finding the Fourth Proportional to 23,875.38, 35,815.23 and 7,235.46

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Solution

The fourth proportional to 23,875.38, 35,815.23 and 7,235.46 is: 10,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.38 : 35,815.23 = 7,235.46 : x
  2. Step 2: Convert to fraction form
    23,875.38/35,815.23 = 7,235.46/x
  3. Step 3: Cross multiply
    23,875.38x = 35,815.23 × 7,235.46
  4. Step 4: Simplify right side
    23,875.38x = 259,139,664.06
  5. Step 5: Solve for x
    x = 259,139,664.06/23,875.38
  6. Step 6: Final answer
    x = 10,853.84

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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.