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Finding the Fourth Proportional to 21,071.40, 31,611.71 and 7,923.77

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Solution

The fourth proportional to 21,071.40, 31,611.71 and 7,923.77 is: 11,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.40 : 31,611.71 = 7,923.77 : x
  2. Step 2: Convert to fraction form
    21,071.40/31,611.71 = 7,923.77/x
  3. Step 3: Cross multiply
    21,071.40x = 31,611.71 × 7,923.77
  4. Step 4: Simplify right side
    21,071.40x = 250,483,919.35
  5. Step 5: Solve for x
    x = 250,483,919.35/21,071.40
  6. Step 6: Final answer
    x = 11,887.39

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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.