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Finding the Fourth Proportional to 21,323.58, 31,970.40 and 7,276.98

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Solution

The fourth proportional to 21,323.58, 31,970.40 and 7,276.98 is: 10,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.58 : 31,970.40 = 7,276.98 : x
  2. Step 2: Convert to fraction form
    21,323.58/31,970.40 = 7,276.98/x
  3. Step 3: Cross multiply
    21,323.58x = 31,970.40 × 7,276.98
  4. Step 4: Simplify right side
    21,323.58x = 232,647,961.39
  5. Step 5: Solve for x
    x = 232,647,961.39/21,323.58
  6. Step 6: Final answer
    x = 10,910.36

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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.