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Finding the Fourth Proportional to 14,004, 20,991.36 and 7,428.36

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Solution

The fourth proportional to 14,004, 20,991.36 and 7,428.36 is: 11,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 20,991.36 = 7,428.36 : x
  2. Step 2: Convert to fraction form
    14,004/20,991.36 = 7,428.36/x
  3. Step 3: Cross multiply
    14,004x = 20,991.36 × 7,428.36
  4. Step 4: Simplify right side
    14,004x = 155,931,378.97
  5. Step 5: Solve for x
    x = 155,931,378.97/14,004
  6. Step 6: Final answer
    x = 11,134.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.