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Finding the Fourth Proportional to 21,334.30, 31,999.23 and 5,750.98

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Solution

The fourth proportional to 21,334.30, 31,999.23 and 5,750.98 is: 8,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.30 : 31,999.23 = 5,750.98 : x
  2. Step 2: Convert to fraction form
    21,334.30/31,999.23 = 5,750.98/x
  3. Step 3: Cross multiply
    21,334.30x = 31,999.23 × 5,750.98
  4. Step 4: Simplify right side
    21,334.30x = 184,026,931.75
  5. Step 5: Solve for x
    x = 184,026,931.75/21,334.30
  6. Step 6: Final answer
    x = 8,625.87

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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.