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Finding the Fourth Proportional to 14,302.41, 21,453.61 and 3,914.16

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Solution

The fourth proportional to 14,302.41, 21,453.61 and 3,914.16 is: 5,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.41 : 21,453.61 = 3,914.16 : x
  2. Step 2: Convert to fraction form
    14,302.41/21,453.61 = 3,914.16/x
  3. Step 3: Cross multiply
    14,302.41x = 21,453.61 × 3,914.16
  4. Step 4: Simplify right side
    14,302.41x = 83,972,779.22
  5. Step 5: Solve for x
    x = 83,972,779.22/14,302.41
  6. Step 6: Final answer
    x = 5,871.23

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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.