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Finding the Fourth Proportional to 13,805.84, 20,697.42 and 5,035.16

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Solution

The fourth proportional to 13,805.84, 20,697.42 and 5,035.16 is: 7,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.84 : 20,697.42 = 5,035.16 : x
  2. Step 2: Convert to fraction form
    13,805.84/20,697.42 = 5,035.16/x
  3. Step 3: Cross multiply
    13,805.84x = 20,697.42 × 5,035.16
  4. Step 4: Simplify right side
    13,805.84x = 104,214,821.29
  5. Step 5: Solve for x
    x = 104,214,821.29/13,805.84
  6. Step 6: Final answer
    x = 7,548.60

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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.