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Finding the Fourth Proportional to 12,322.50, 18,483.75 and 3,556.14

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Solution

The fourth proportional to 12,322.50, 18,483.75 and 3,556.14 is: 5,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.50 : 18,483.75 = 3,556.14 : x
  2. Step 2: Convert to fraction form
    12,322.50/18,483.75 = 3,556.14/x
  3. Step 3: Cross multiply
    12,322.50x = 18,483.75 × 3,556.14
  4. Step 4: Simplify right side
    12,322.50x = 65,730,802.73
  5. Step 5: Solve for x
    x = 65,730,802.73/12,322.50
  6. Step 6: Final answer
    x = 5,334.21

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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.