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Finding the Fourth Proportional to 14,524.48, 21,776.12 and 4,658.16

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Solution

The fourth proportional to 14,524.48, 21,776.12 and 4,658.16 is: 6,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.48 : 21,776.12 = 4,658.16 : x
  2. Step 2: Convert to fraction form
    14,524.48/21,776.12 = 4,658.16/x
  3. Step 3: Cross multiply
    14,524.48x = 21,776.12 × 4,658.16
  4. Step 4: Simplify right side
    14,524.48x = 101,436,651.14
  5. Step 5: Solve for x
    x = 101,436,651.14/14,524.48
  6. Step 6: Final answer
    x = 6,983.84

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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.