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Finding the Fourth Proportional to 13,991.40, 19,302.05 and 8,021.70

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Solution

The fourth proportional to 13,991.40, 19,302.05 and 8,021.70 is: 11,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.40 : 19,302.05 = 8,021.70 : x
  2. Step 2: Convert to fraction form
    13,991.40/19,302.05 = 8,021.70/x
  3. Step 3: Cross multiply
    13,991.40x = 19,302.05 × 8,021.70
  4. Step 4: Simplify right side
    13,991.40x = 154,835,214.38
  5. Step 5: Solve for x
    x = 154,835,214.38/13,991.40
  6. Step 6: Final answer
    x = 11,066.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.