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Finding the Fourth Proportional to 21,269.76, 31,908.74 and 11,920.34

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Solution

The fourth proportional to 21,269.76, 31,908.74 and 11,920.34 is: 17,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.76 : 31,908.74 = 11,920.34 : x
  2. Step 2: Convert to fraction form
    21,269.76/31,908.74 = 11,920.34/x
  3. Step 3: Cross multiply
    21,269.76x = 31,908.74 × 11,920.34
  4. Step 4: Simplify right side
    21,269.76x = 380,362,810.63
  5. Step 5: Solve for x
    x = 380,362,810.63/21,269.76
  6. Step 6: Final answer
    x = 17,882.80

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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.