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Finding the Fourth Proportional to 14,141.84, 21,217.08 and 4,914.32

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Solution

The fourth proportional to 14,141.84, 21,217.08 and 4,914.32 is: 7,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.84 : 21,217.08 = 4,914.32 : x
  2. Step 2: Convert to fraction form
    14,141.84/21,217.08 = 4,914.32/x
  3. Step 3: Cross multiply
    14,141.84x = 21,217.08 × 4,914.32
  4. Step 4: Simplify right side
    14,141.84x = 104,267,520.59
  5. Step 5: Solve for x
    x = 104,267,520.59/14,141.84
  6. Step 6: Final answer
    x = 7,372.98

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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.