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Finding the Fourth Proportional to 15,881.02, 23,822.02 and 4,787.78

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Solution

The fourth proportional to 15,881.02, 23,822.02 and 4,787.78 is: 7,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.02 : 23,822.02 = 4,787.78 : x
  2. Step 2: Convert to fraction form
    15,881.02/23,822.02 = 4,787.78/x
  3. Step 3: Cross multiply
    15,881.02x = 23,822.02 × 4,787.78
  4. Step 4: Simplify right side
    15,881.02x = 114,054,590.92
  5. Step 5: Solve for x
    x = 114,054,590.92/15,881.02
  6. Step 6: Final answer
    x = 7,181.82

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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.