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Finding the Fourth Proportional to 14,035.84, 21,035.49 and 5,706.04

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Solution

The fourth proportional to 14,035.84, 21,035.49 and 5,706.04 is: 8,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.84 : 21,035.49 = 5,706.04 : x
  2. Step 2: Convert to fraction form
    14,035.84/21,035.49 = 5,706.04/x
  3. Step 3: Cross multiply
    14,035.84x = 21,035.49 × 5,706.04
  4. Step 4: Simplify right side
    14,035.84x = 120,029,347.36
  5. Step 5: Solve for x
    x = 120,029,347.36/14,035.84
  6. Step 6: Final answer
    x = 8,551.63

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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.