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Finding the Fourth Proportional to 14,496.96, 21,747.15 and 5,135.03

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Solution

The fourth proportional to 14,496.96, 21,747.15 and 5,135.03 is: 7,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.96 : 21,747.15 = 5,135.03 : x
  2. Step 2: Convert to fraction form
    14,496.96/21,747.15 = 5,135.03/x
  3. Step 3: Cross multiply
    14,496.96x = 21,747.15 × 5,135.03
  4. Step 4: Simplify right side
    14,496.96x = 111,672,158.93
  5. Step 5: Solve for x
    x = 111,672,158.93/14,496.96
  6. Step 6: Final answer
    x = 7,703.14

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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.