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Finding the Fourth Proportional to 14,041.09, 19,384.49 and 9,571.41

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Solution

The fourth proportional to 14,041.09, 19,384.49 and 9,571.41 is: 13,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.09 : 19,384.49 = 9,571.41 : x
  2. Step 2: Convert to fraction form
    14,041.09/19,384.49 = 9,571.41/x
  3. Step 3: Cross multiply
    14,041.09x = 19,384.49 × 9,571.41
  4. Step 4: Simplify right side
    14,041.09x = 185,536,853.57
  5. Step 5: Solve for x
    x = 185,536,853.57/14,041.09
  6. Step 6: Final answer
    x = 13,213.85

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