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Finding the Fourth Proportional to 13,423.16, 18,502.42 and 9,114.90

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Solution

The fourth proportional to 13,423.16, 18,502.42 and 9,114.90 is: 12,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.16 : 18,502.42 = 9,114.90 : x
  2. Step 2: Convert to fraction form
    13,423.16/18,502.42 = 9,114.90/x
  3. Step 3: Cross multiply
    13,423.16x = 18,502.42 × 9,114.90
  4. Step 4: Simplify right side
    13,423.16x = 168,647,708.06
  5. Step 5: Solve for x
    x = 168,647,708.06/13,423.16
  6. Step 6: Final answer
    x = 12,563.93

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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.