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Finding the Fourth Proportional to 13,066.94, 19,632.54 and 8,389.20

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Solution

The fourth proportional to 13,066.94, 19,632.54 and 8,389.20 is: 12,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.94 : 19,632.54 = 8,389.20 : x
  2. Step 2: Convert to fraction form
    13,066.94/19,632.54 = 8,389.20/x
  3. Step 3: Cross multiply
    13,066.94x = 19,632.54 × 8,389.20
  4. Step 4: Simplify right side
    13,066.94x = 164,701,304.57
  5. Step 5: Solve for x
    x = 164,701,304.57/13,066.94
  6. Step 6: Final answer
    x = 12,604.43

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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.