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Finding the Fourth Proportional to 21,074.70, 31,602.54 and 11,211.87

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Solution

The fourth proportional to 21,074.70, 31,602.54 and 11,211.87 is: 16,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.70 : 31,602.54 = 11,211.87 : x
  2. Step 2: Convert to fraction form
    21,074.70/31,602.54 = 11,211.87/x
  3. Step 3: Cross multiply
    21,074.70x = 31,602.54 × 11,211.87
  4. Step 4: Simplify right side
    21,074.70x = 354,323,570.15
  5. Step 5: Solve for x
    x = 354,323,570.15/21,074.70
  6. Step 6: Final answer
    x = 16,812.75

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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.