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Finding the Fourth Proportional to 15,746.76, 23,611.05 and 7,833.17

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Solution

The fourth proportional to 15,746.76, 23,611.05 and 7,833.17 is: 11,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.76 : 23,611.05 = 7,833.17 : x
  2. Step 2: Convert to fraction form
    15,746.76/23,611.05 = 7,833.17/x
  3. Step 3: Cross multiply
    15,746.76x = 23,611.05 × 7,833.17
  4. Step 4: Simplify right side
    15,746.76x = 184,949,427.56
  5. Step 5: Solve for x
    x = 184,949,427.56/15,746.76
  6. Step 6: Final answer
    x = 11,745.24

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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.