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Finding the Fourth Proportional to 13,021.79, 19,524.81 and 5,114.84

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Solution

The fourth proportional to 13,021.79, 19,524.81 and 5,114.84 is: 7,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.79 : 19,524.81 = 5,114.84 : x
  2. Step 2: Convert to fraction form
    13,021.79/19,524.81 = 5,114.84/x
  3. Step 3: Cross multiply
    13,021.79x = 19,524.81 × 5,114.84
  4. Step 4: Simplify right side
    13,021.79x = 99,866,279.18
  5. Step 5: Solve for x
    x = 99,866,279.18/13,021.79
  6. Step 6: Final answer
    x = 7,669.17

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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.