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Finding the Fourth Proportional to 21,467, 32,200.50 and 9,155

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Solution

The fourth proportional to 21,467, 32,200.50 and 9,155 is: 13,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467 : 32,200.50 = 9,155 : x
  2. Step 2: Convert to fraction form
    21,467/32,200.50 = 9,155/x
  3. Step 3: Cross multiply
    21,467x = 32,200.50 × 9,155
  4. Step 4: Simplify right side
    21,467x = 294,795,577.50
  5. Step 5: Solve for x
    x = 294,795,577.50/21,467
  6. Step 6: Final answer
    x = 13,732.50

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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.