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Finding the Fourth Proportional to 18,577.44, 27,865.86 and 7,483.84

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Solution

The fourth proportional to 18,577.44, 27,865.86 and 7,483.84 is: 11,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.44 : 27,865.86 = 7,483.84 : x
  2. Step 2: Convert to fraction form
    18,577.44/27,865.86 = 7,483.84/x
  3. Step 3: Cross multiply
    18,577.44x = 27,865.86 × 7,483.84
  4. Step 4: Simplify right side
    18,577.44x = 208,543,637.70
  5. Step 5: Solve for x
    x = 208,543,637.70/18,577.44
  6. Step 6: Final answer
    x = 11,225.64

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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.