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Finding the Fourth Proportional to 12,536.64, 18,805.91 and 4,216.68

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Solution

The fourth proportional to 12,536.64, 18,805.91 and 4,216.68 is: 6,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.64 : 18,805.91 = 4,216.68 : x
  2. Step 2: Convert to fraction form
    12,536.64/18,805.91 = 4,216.68/x
  3. Step 3: Cross multiply
    12,536.64x = 18,805.91 × 4,216.68
  4. Step 4: Simplify right side
    12,536.64x = 79,298,483.50
  5. Step 5: Solve for x
    x = 79,298,483.50/12,536.64
  6. Step 6: Final answer
    x = 6,325.34

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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.