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Finding the Fourth Proportional to 21,716.33, 32,568.63 and 7,674.50

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Solution

The fourth proportional to 21,716.33, 32,568.63 and 7,674.50 is: 11,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.33 : 32,568.63 = 7,674.50 : x
  2. Step 2: Convert to fraction form
    21,716.33/32,568.63 = 7,674.50/x
  3. Step 3: Cross multiply
    21,716.33x = 32,568.63 × 7,674.50
  4. Step 4: Simplify right side
    21,716.33x = 249,947,788.09
  5. Step 5: Solve for x
    x = 249,947,788.09/21,716.33
  6. Step 6: Final answer
    x = 11,509.67

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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.