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Finding the Fourth Proportional to 21,065.76, 31,573.44 and 9,365.76

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Solution

The fourth proportional to 21,065.76, 31,573.44 and 9,365.76 is: 14,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.76 : 31,573.44 = 9,365.76 : x
  2. Step 2: Convert to fraction form
    21,065.76/31,573.44 = 9,365.76/x
  3. Step 3: Cross multiply
    21,065.76x = 31,573.44 × 9,365.76
  4. Step 4: Simplify right side
    21,065.76x = 295,709,261.41
  5. Step 5: Solve for x
    x = 295,709,261.41/21,065.76
  6. Step 6: Final answer
    x = 14,037.44

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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.