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Finding the Fourth Proportional to 23,048.50, 31,805.04 and 12,973.72

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Solution

The fourth proportional to 23,048.50, 31,805.04 and 12,973.72 is: 17,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.50 : 31,805.04 = 12,973.72 : x
  2. Step 2: Convert to fraction form
    23,048.50/31,805.04 = 12,973.72/x
  3. Step 3: Cross multiply
    23,048.50x = 31,805.04 × 12,973.72
  4. Step 4: Simplify right side
    23,048.50x = 412,629,683.55
  5. Step 5: Solve for x
    x = 412,629,683.55/23,048.50
  6. Step 6: Final answer
    x = 17,902.67

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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.