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Finding the Fourth Proportional to 21,697.44, 32,548.28 and 10,014

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Solution

The fourth proportional to 21,697.44, 32,548.28 and 10,014 is: 15,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.44 : 32,548.28 = 10,014 : x
  2. Step 2: Convert to fraction form
    21,697.44/32,548.28 = 10,014/x
  3. Step 3: Cross multiply
    21,697.44x = 32,548.28 × 10,014
  4. Step 4: Simplify right side
    21,697.44x = 325,938,475.92
  5. Step 5: Solve for x
    x = 325,938,475.92/21,697.44
  6. Step 6: Final answer
    x = 15,021.98

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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.