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Finding the Fourth Proportional to 15,813.36, 21,823.74 and 8,741.16

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Solution

The fourth proportional to 15,813.36, 21,823.74 and 8,741.16 is: 12,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.36 : 21,823.74 = 8,741.16 : x
  2. Step 2: Convert to fraction form
    15,813.36/21,823.74 = 8,741.16/x
  3. Step 3: Cross multiply
    15,813.36x = 21,823.74 × 8,741.16
  4. Step 4: Simplify right side
    15,813.36x = 190,764,803.14
  5. Step 5: Solve for x
    x = 190,764,803.14/15,813.36
  6. Step 6: Final answer
    x = 12,063.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.