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Finding the Fourth Proportional to 15,881.48, 23,825.66 and 4,787.24

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Solution

The fourth proportional to 15,881.48, 23,825.66 and 4,787.24 is: 7,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.48 : 23,825.66 = 4,787.24 : x
  2. Step 2: Convert to fraction form
    15,881.48/23,825.66 = 4,787.24/x
  3. Step 3: Cross multiply
    15,881.48x = 23,825.66 × 4,787.24
  4. Step 4: Simplify right side
    15,881.48x = 114,059,152.58
  5. Step 5: Solve for x
    x = 114,059,152.58/15,881.48
  6. Step 6: Final answer
    x = 7,181.90

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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.