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Finding the Fourth Proportional to 18,495.50, 27,762.98 and 7,970.73

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Solution

The fourth proportional to 18,495.50, 27,762.98 and 7,970.73 is: 11,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495.50 : 27,762.98 = 7,970.73 : x
  2. Step 2: Convert to fraction form
    18,495.50/27,762.98 = 7,970.73/x
  3. Step 3: Cross multiply
    18,495.50x = 27,762.98 × 7,970.73
  4. Step 4: Simplify right side
    18,495.50x = 221,291,177.72
  5. Step 5: Solve for x
    x = 221,291,177.72/18,495.50
  6. Step 6: Final answer
    x = 11,964.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.