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Finding the Fourth Proportional to 12,762.81, 17,621.69 and 9,583.16

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Solution

The fourth proportional to 12,762.81, 17,621.69 and 9,583.16 is: 13,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.81 : 17,621.69 = 9,583.16 : x
  2. Step 2: Convert to fraction form
    12,762.81/17,621.69 = 9,583.16/x
  3. Step 3: Cross multiply
    12,762.81x = 17,621.69 × 9,583.16
  4. Step 4: Simplify right side
    12,762.81x = 168,871,338.72
  5. Step 5: Solve for x
    x = 168,871,338.72/12,762.81
  6. Step 6: Final answer
    x = 13,231.52

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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.