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Finding the Fourth Proportional to 21,851.69, 32,758.09 and 10,158.53

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Solution

The fourth proportional to 21,851.69, 32,758.09 and 10,158.53 is: 15,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.69 : 32,758.09 = 10,158.53 : x
  2. Step 2: Convert to fraction form
    21,851.69/32,758.09 = 10,158.53/x
  3. Step 3: Cross multiply
    21,851.69x = 32,758.09 × 10,158.53
  4. Step 4: Simplify right side
    21,851.69x = 332,774,040.01
  5. Step 5: Solve for x
    x = 332,774,040.01/21,851.69
  6. Step 6: Final answer
    x = 15,228.76

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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.