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Finding the Fourth Proportional to 14,205.35, 21,308 and 3,817.10

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Solution

The fourth proportional to 14,205.35, 21,308 and 3,817.10 is: 5,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.35 : 21,308 = 3,817.10 : x
  2. Step 2: Convert to fraction form
    14,205.35/21,308 = 3,817.10/x
  3. Step 3: Cross multiply
    14,205.35x = 21,308 × 3,817.10
  4. Step 4: Simplify right side
    14,205.35x = 81,334,660.26
  5. Step 5: Solve for x
    x = 81,334,660.26/14,205.35
  6. Step 6: Final answer
    x = 5,725.64

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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.