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Finding the Fourth Proportional to 24,400.80, 36,611.68 and 7,762.18

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Solution

The fourth proportional to 24,400.80, 36,611.68 and 7,762.18 is: 11,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.80 : 36,611.68 = 7,762.18 : x
  2. Step 2: Convert to fraction form
    24,400.80/36,611.68 = 7,762.18/x
  3. Step 3: Cross multiply
    24,400.80x = 36,611.68 × 7,762.18
  4. Step 4: Simplify right side
    24,400.80x = 284,186,450.26
  5. Step 5: Solve for x
    x = 284,186,450.26/24,400.80
  6. Step 6: Final answer
    x = 11,646.60

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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.