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Finding the Fourth Proportional to 14,563.24, 21,847.98 and 5,329

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Solution

The fourth proportional to 14,563.24, 21,847.98 and 5,329 is: 7,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.24 : 21,847.98 = 5,329 : x
  2. Step 2: Convert to fraction form
    14,563.24/21,847.98 = 5,329/x
  3. Step 3: Cross multiply
    14,563.24x = 21,847.98 × 5,329
  4. Step 4: Simplify right side
    14,563.24x = 116,427,885.42
  5. Step 5: Solve for x
    x = 116,427,885.42/14,563.24
  6. Step 6: Final answer
    x = 7,994.64

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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.