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Finding the Fourth Proportional to 23,873.64, 35,812.29 and 7,235.07

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Solution

The fourth proportional to 23,873.64, 35,812.29 and 7,235.07 is: 10,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.64 : 35,812.29 = 7,235.07 : x
  2. Step 2: Convert to fraction form
    23,873.64/35,812.29 = 7,235.07/x
  3. Step 3: Cross multiply
    23,873.64x = 35,812.29 × 7,235.07
  4. Step 4: Simplify right side
    23,873.64x = 259,104,425.01
  5. Step 5: Solve for x
    x = 259,104,425.01/23,873.64
  6. Step 6: Final answer
    x = 10,853.16

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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.