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Finding the Fourth Proportional to 24,450.09, 36,677.16 and 7,812.49

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Solution

The fourth proportional to 24,450.09, 36,677.16 and 7,812.49 is: 11,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.09 : 36,677.16 = 7,812.49 : x
  2. Step 2: Convert to fraction form
    24,450.09/36,677.16 = 7,812.49/x
  3. Step 3: Cross multiply
    24,450.09x = 36,677.16 × 7,812.49
  4. Step 4: Simplify right side
    24,450.09x = 286,539,762.34
  5. Step 5: Solve for x
    x = 286,539,762.34/24,450.09
  6. Step 6: Final answer
    x = 11,719.37

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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.