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Finding the Fourth Proportional to 19,685.74, 27,165.83 and 10,733.41

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Solution

The fourth proportional to 19,685.74, 27,165.83 and 10,733.41 is: 14,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.74 : 27,165.83 = 10,733.41 : x
  2. Step 2: Convert to fraction form
    19,685.74/27,165.83 = 10,733.41/x
  3. Step 3: Cross multiply
    19,685.74x = 27,165.83 × 10,733.41
  4. Step 4: Simplify right side
    19,685.74x = 291,582,048.07
  5. Step 5: Solve for x
    x = 291,582,048.07/19,685.74
  6. Step 6: Final answer
    x = 14,811.84

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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.