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Finding the Fourth Proportional to 23,071.50, 31,838.67 and 13,137.42

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Solution

The fourth proportional to 23,071.50, 31,838.67 and 13,137.42 is: 18,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.50 : 31,838.67 = 13,137.42 : x
  2. Step 2: Convert to fraction form
    23,071.50/31,838.67 = 13,137.42/x
  3. Step 3: Cross multiply
    23,071.50x = 31,838.67 × 13,137.42
  4. Step 4: Simplify right side
    23,071.50x = 418,277,980.03
  5. Step 5: Solve for x
    x = 418,277,980.03/23,071.50
  6. Step 6: Final answer
    x = 18,129.64

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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.