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Finding the Fourth Proportional to 23,900.84, 32,969.68 and 14,338.16

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Solution

The fourth proportional to 23,900.84, 32,969.68 and 14,338.16 is: 19,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.84 : 32,969.68 = 14,338.16 : x
  2. Step 2: Convert to fraction form
    23,900.84/32,969.68 = 14,338.16/x
  3. Step 3: Cross multiply
    23,900.84x = 32,969.68 × 14,338.16
  4. Step 4: Simplify right side
    23,900.84x = 472,724,546.99
  5. Step 5: Solve for x
    x = 472,724,546.99/23,900.84
  6. Step 6: Final answer
    x = 19,778.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.