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Finding the Fourth Proportional to 21,412.79, 32,116.87 and 5,619.41

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Solution

The fourth proportional to 21,412.79, 32,116.87 and 5,619.41 is: 8,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.79 : 32,116.87 = 5,619.41 : x
  2. Step 2: Convert to fraction form
    21,412.79/32,116.87 = 5,619.41/x
  3. Step 3: Cross multiply
    21,412.79x = 32,116.87 × 5,619.41
  4. Step 4: Simplify right side
    21,412.79x = 180,477,860.45
  5. Step 5: Solve for x
    x = 180,477,860.45/21,412.79
  6. Step 6: Final answer
    x = 8,428.51

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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.