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Finding the Fourth Proportional to 13,309.91, 18,384.02 and 9,967.64

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Solution

The fourth proportional to 13,309.91, 18,384.02 and 9,967.64 is: 13,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.91 : 18,384.02 = 9,967.64 : x
  2. Step 2: Convert to fraction form
    13,309.91/18,384.02 = 9,967.64/x
  3. Step 3: Cross multiply
    13,309.91x = 18,384.02 × 9,967.64
  4. Step 4: Simplify right side
    13,309.91x = 183,245,363.99
  5. Step 5: Solve for x
    x = 183,245,363.99/13,309.91
  6. Step 6: Final answer
    x = 13,767.59

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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.