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Finding the Fourth Proportional to 23,825.18, 35,712.54 and 8,015.16

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Solution

The fourth proportional to 23,825.18, 35,712.54 and 8,015.16 is: 12,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.18 : 35,712.54 = 8,015.16 : x
  2. Step 2: Convert to fraction form
    23,825.18/35,712.54 = 8,015.16/x
  3. Step 3: Cross multiply
    23,825.18x = 35,712.54 × 8,015.16
  4. Step 4: Simplify right side
    23,825.18x = 286,241,722.11
  5. Step 5: Solve for x
    x = 286,241,722.11/23,825.18
  6. Step 6: Final answer
    x = 12,014.25

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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.