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Finding the Fourth Proportional to 13,648.42, 20,459.67 and 5,333.77

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Solution

The fourth proportional to 13,648.42, 20,459.67 and 5,333.77 is: 7,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.42 : 20,459.67 = 5,333.77 : x
  2. Step 2: Convert to fraction form
    13,648.42/20,459.67 = 5,333.77/x
  3. Step 3: Cross multiply
    13,648.42x = 20,459.67 × 5,333.77
  4. Step 4: Simplify right side
    13,648.42x = 109,127,174.06
  5. Step 5: Solve for x
    x = 109,127,174.06/13,648.42
  6. Step 6: Final answer
    x = 7,995.59

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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.