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Finding the Fourth Proportional to 24,356.34, 36,534.11 and 7,716.33

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Solution

The fourth proportional to 24,356.34, 36,534.11 and 7,716.33 is: 11,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.34 : 36,534.11 = 7,716.33 : x
  2. Step 2: Convert to fraction form
    24,356.34/36,534.11 = 7,716.33/x
  3. Step 3: Cross multiply
    24,356.34x = 36,534.11 × 7,716.33
  4. Step 4: Simplify right side
    24,356.34x = 281,909,210.43
  5. Step 5: Solve for x
    x = 281,909,210.43/24,356.34
  6. Step 6: Final answer
    x = 11,574.37

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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.