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Finding the Fourth Proportional to 14,035.30, 21,034.75 and 5,705.64

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Solution

The fourth proportional to 14,035.30, 21,034.75 and 5,705.64 is: 8,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.30 : 21,034.75 = 5,705.64 : x
  2. Step 2: Convert to fraction form
    14,035.30/21,034.75 = 5,705.64/x
  3. Step 3: Cross multiply
    14,035.30x = 21,034.75 × 5,705.64
  4. Step 4: Simplify right side
    14,035.30x = 120,016,710.99
  5. Step 5: Solve for x
    x = 120,016,710.99/14,035.30
  6. Step 6: Final answer
    x = 8,551.06

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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.