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Finding the Fourth Proportional to 27,698.16, 38,231.64 and 19,317.36

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Solution

The fourth proportional to 27,698.16, 38,231.64 and 19,317.36 is: 26,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.16 : 38,231.64 = 19,317.36 : x
  2. Step 2: Convert to fraction form
    27,698.16/38,231.64 = 19,317.36/x
  3. Step 3: Cross multiply
    27,698.16x = 38,231.64 × 19,317.36
  4. Step 4: Simplify right side
    27,698.16x = 738,534,353.27
  5. Step 5: Solve for x
    x = 738,534,353.27/27,698.16
  6. Step 6: Final answer
    x = 26,663.66

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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.