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Finding the Fourth Proportional to 14,035.56, 21,035.16 and 5,705.84

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Solution

The fourth proportional to 14,035.56, 21,035.16 and 5,705.84 is: 8,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.56 : 21,035.16 = 5,705.84 : x
  2. Step 2: Convert to fraction form
    14,035.56/21,035.16 = 5,705.84/x
  3. Step 3: Cross multiply
    14,035.56x = 21,035.16 × 5,705.84
  4. Step 4: Simplify right side
    14,035.56x = 120,023,152.16
  5. Step 5: Solve for x
    x = 120,023,152.16/14,035.56
  6. Step 6: Final answer
    x = 8,551.36

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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.