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Finding the Fourth Proportional to 21,321.76, 31,925.24 and 13,907.84

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Solution

The fourth proportional to 21,321.76, 31,925.24 and 13,907.84 is: 20,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.76 : 31,925.24 = 13,907.84 : x
  2. Step 2: Convert to fraction form
    21,321.76/31,925.24 = 13,907.84/x
  3. Step 3: Cross multiply
    21,321.76x = 31,925.24 × 13,907.84
  4. Step 4: Simplify right side
    21,321.76x = 444,011,129.88
  5. Step 5: Solve for x
    x = 444,011,129.88/21,321.76
  6. Step 6: Final answer
    x = 20,824.32

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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.