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Finding the Fourth Proportional to 14,583.81, 20,127.16 and 8,922.32

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Solution

The fourth proportional to 14,583.81, 20,127.16 and 8,922.32 is: 12,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.81 : 20,127.16 = 8,922.32 : x
  2. Step 2: Convert to fraction form
    14,583.81/20,127.16 = 8,922.32/x
  3. Step 3: Cross multiply
    14,583.81x = 20,127.16 × 8,922.32
  4. Step 4: Simplify right side
    14,583.81x = 179,581,017.36
  5. Step 5: Solve for x
    x = 179,581,017.36/14,583.81
  6. Step 6: Final answer
    x = 12,313.73

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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.