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Finding the Fourth Proportional to 19,814.47, 27,349.14 and 12,256.41

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Solution

The fourth proportional to 19,814.47, 27,349.14 and 12,256.41 is: 16,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.47 : 27,349.14 = 12,256.41 : x
  2. Step 2: Convert to fraction form
    19,814.47/27,349.14 = 12,256.41/x
  3. Step 3: Cross multiply
    19,814.47x = 27,349.14 × 12,256.41
  4. Step 4: Simplify right side
    19,814.47x = 335,202,421.51
  5. Step 5: Solve for x
    x = 335,202,421.51/19,814.47
  6. Step 6: Final answer
    x = 16,917.05

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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.