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Finding the Fourth Proportional to 14,536, 21,811.88 and 11,255.50

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Solution

The fourth proportional to 14,536, 21,811.88 and 11,255.50 is: 16,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536 : 21,811.88 = 11,255.50 : x
  2. Step 2: Convert to fraction form
    14,536/21,811.88 = 11,255.50/x
  3. Step 3: Cross multiply
    14,536x = 21,811.88 × 11,255.50
  4. Step 4: Simplify right side
    14,536x = 245,503,615.34
  5. Step 5: Solve for x
    x = 245,503,615.34/14,536
  6. Step 6: Final answer
    x = 16,889.35

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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.