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Finding the Fourth Proportional to 18,538.37, 27,802.08 and 9,768.50

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Solution

The fourth proportional to 18,538.37, 27,802.08 and 9,768.50 is: 14,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.37 : 27,802.08 = 9,768.50 : x
  2. Step 2: Convert to fraction form
    18,538.37/27,802.08 = 9,768.50/x
  3. Step 3: Cross multiply
    18,538.37x = 27,802.08 × 9,768.50
  4. Step 4: Simplify right side
    18,538.37x = 271,584,430.63
  5. Step 5: Solve for x
    x = 271,584,430.63/18,538.37
  6. Step 6: Final answer
    x = 14,649.86

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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.