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Finding the Fourth Proportional to 23,050, 31,808.82 and 12,978.52

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Solution

The fourth proportional to 23,050, 31,808.82 and 12,978.52 is: 17,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050 : 31,808.82 = 12,978.52 : x
  2. Step 2: Convert to fraction form
    23,050/31,808.82 = 12,978.52/x
  3. Step 3: Cross multiply
    23,050x = 31,808.82 × 12,978.52
  4. Step 4: Simplify right side
    23,050x = 412,831,406.55
  5. Step 5: Solve for x
    x = 412,831,406.55/23,050
  6. Step 6: Final answer
    x = 17,910.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.