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Finding the Fourth Proportional to 14,353.78, 21,530.64 and 3,965.50

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Solution

The fourth proportional to 14,353.78, 21,530.64 and 3,965.50 is: 5,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.78 : 21,530.64 = 3,965.50 : x
  2. Step 2: Convert to fraction form
    14,353.78/21,530.64 = 3,965.50/x
  3. Step 3: Cross multiply
    14,353.78x = 21,530.64 × 3,965.50
  4. Step 4: Simplify right side
    14,353.78x = 85,379,752.92
  5. Step 5: Solve for x
    x = 85,379,752.92/14,353.78
  6. Step 6: Final answer
    x = 5,948.24

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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.