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Finding the Fourth Proportional to 20,436.08, 30,647.64 and 8,746.16

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Solution

The fourth proportional to 20,436.08, 30,647.64 and 8,746.16 is: 13,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.08 : 30,647.64 = 8,746.16 : x
  2. Step 2: Convert to fraction form
    20,436.08/30,647.64 = 8,746.16/x
  3. Step 3: Cross multiply
    20,436.08x = 30,647.64 × 8,746.16
  4. Step 4: Simplify right side
    20,436.08x = 268,049,163.06
  5. Step 5: Solve for x
    x = 268,049,163.06/20,436.08
  6. Step 6: Final answer
    x = 13,116.47

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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.