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Finding the Fourth Proportional to 21,574.44, 32,405.94 and 14,189.40

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Solution

The fourth proportional to 21,574.44, 32,405.94 and 14,189.40 is: 21,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.44 : 32,405.94 = 14,189.40 : x
  2. Step 2: Convert to fraction form
    21,574.44/32,405.94 = 14,189.40/x
  3. Step 3: Cross multiply
    21,574.44x = 32,405.94 × 14,189.40
  4. Step 4: Simplify right side
    21,574.44x = 459,820,845.04
  5. Step 5: Solve for x
    x = 459,820,845.04/21,574.44
  6. Step 6: Final answer
    x = 21,313.22

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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.