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Finding the Fourth Proportional to 14,205.84, 21,308.18 and 5,440.23

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Solution

The fourth proportional to 14,205.84, 21,308.18 and 5,440.23 is: 8,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.84 : 21,308.18 = 5,440.23 : x
  2. Step 2: Convert to fraction form
    14,205.84/21,308.18 = 5,440.23/x
  3. Step 3: Cross multiply
    14,205.84x = 21,308.18 × 5,440.23
  4. Step 4: Simplify right side
    14,205.84x = 115,921,372.88
  5. Step 5: Solve for x
    x = 115,921,372.88/14,205.84
  6. Step 6: Final answer
    x = 8,160.12

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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.