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Finding the Fourth Proportional to 21,399.46, 32,085.52 and 10,284.03

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Solution

The fourth proportional to 21,399.46, 32,085.52 and 10,284.03 is: 15,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,399.46 : 32,085.52 = 10,284.03 : x
  2. Step 2: Convert to fraction form
    21,399.46/32,085.52 = 10,284.03/x
  3. Step 3: Cross multiply
    21,399.46x = 32,085.52 × 10,284.03
  4. Step 4: Simplify right side
    21,399.46x = 329,968,424.54
  5. Step 5: Solve for x
    x = 329,968,424.54/21,399.46
  6. Step 6: Final answer
    x = 15,419.48

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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.