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Finding the Fourth Proportional to 19,857.51, 27,412.71 and 11,472.39

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Solution

The fourth proportional to 19,857.51, 27,412.71 and 11,472.39 is: 15,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.51 : 27,412.71 = 11,472.39 : x
  2. Step 2: Convert to fraction form
    19,857.51/27,412.71 = 11,472.39/x
  3. Step 3: Cross multiply
    19,857.51x = 27,412.71 × 11,472.39
  4. Step 4: Simplify right side
    19,857.51x = 314,489,242.71
  5. Step 5: Solve for x
    x = 314,489,242.71/19,857.51
  6. Step 6: Final answer
    x = 15,837.29

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Why These Related Problems?

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