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Finding the Fourth Proportional to 14,356.50, 21,524.40 and 9,664.92

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Solution

The fourth proportional to 14,356.50, 21,524.40 and 9,664.92 is: 14,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.50 : 21,524.40 = 9,664.92 : x
  2. Step 2: Convert to fraction form
    14,356.50/21,524.40 = 9,664.92/x
  3. Step 3: Cross multiply
    14,356.50x = 21,524.40 × 9,664.92
  4. Step 4: Simplify right side
    14,356.50x = 208,031,604.05
  5. Step 5: Solve for x
    x = 208,031,604.05/14,356.50
  6. Step 6: Final answer
    x = 14,490.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.