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Finding the Fourth Proportional to 27,698.64, 38,202.56 and 24,515.36

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Solution

The fourth proportional to 27,698.64, 38,202.56 and 24,515.36 is: 33,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.64 : 38,202.56 = 24,515.36 : x
  2. Step 2: Convert to fraction form
    27,698.64/38,202.56 = 24,515.36/x
  3. Step 3: Cross multiply
    27,698.64x = 38,202.56 × 24,515.36
  4. Step 4: Simplify right side
    27,698.64x = 936,549,511.32
  5. Step 5: Solve for x
    x = 936,549,511.32/27,698.64
  6. Step 6: Final answer
    x = 33,812.11

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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.