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Finding the Fourth Proportional to 15,536.96, 21,443.90 and 14,587.44

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Solution

The fourth proportional to 15,536.96, 21,443.90 and 14,587.44 is: 20,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.96 : 21,443.90 = 14,587.44 : x
  2. Step 2: Convert to fraction form
    15,536.96/21,443.90 = 14,587.44/x
  3. Step 3: Cross multiply
    15,536.96x = 21,443.90 × 14,587.44
  4. Step 4: Simplify right side
    15,536.96x = 312,811,604.62
  5. Step 5: Solve for x
    x = 312,811,604.62/15,536.96
  6. Step 6: Final answer
    x = 20,133.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.