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Finding the Fourth Proportional to 23,115.29, 31,903.01 and 13,423.23

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Solution

The fourth proportional to 23,115.29, 31,903.01 and 13,423.23 is: 18,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.29 : 31,903.01 = 13,423.23 : x
  2. Step 2: Convert to fraction form
    23,115.29/31,903.01 = 13,423.23/x
  3. Step 3: Cross multiply
    23,115.29x = 31,903.01 × 13,423.23
  4. Step 4: Simplify right side
    23,115.29x = 428,241,440.92
  5. Step 5: Solve for x
    x = 428,241,440.92/23,115.29
  6. Step 6: Final answer
    x = 18,526.33

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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.