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Finding the Fourth Proportional to 14,501.09, 20,011.91 and 8,213.46

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Solution

The fourth proportional to 14,501.09, 20,011.91 and 8,213.46 is: 11,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.09 : 20,011.91 = 8,213.46 : x
  2. Step 2: Convert to fraction form
    14,501.09/20,011.91 = 8,213.46/x
  3. Step 3: Cross multiply
    14,501.09x = 20,011.91 × 8,213.46
  4. Step 4: Simplify right side
    14,501.09x = 164,366,981.24
  5. Step 5: Solve for x
    x = 164,366,981.24/14,501.09
  6. Step 6: Final answer
    x = 11,334.81

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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.