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Finding the Fourth Proportional to 21,190.56, 31,751.28 and 10,788

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Solution

The fourth proportional to 21,190.56, 31,751.28 and 10,788 is: 16,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.56 : 31,751.28 = 10,788 : x
  2. Step 2: Convert to fraction form
    21,190.56/31,751.28 = 10,788/x
  3. Step 3: Cross multiply
    21,190.56x = 31,751.28 × 10,788
  4. Step 4: Simplify right side
    21,190.56x = 342,532,808.64
  5. Step 5: Solve for x
    x = 342,532,808.64/21,190.56
  6. Step 6: Final answer
    x = 16,164.41

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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.