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Finding the Fourth Proportional to 20,349.40, 30,514.56 and 7,875.31

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Solution

The fourth proportional to 20,349.40, 30,514.56 and 7,875.31 is: 11,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.40 : 30,514.56 = 7,875.31 : x
  2. Step 2: Convert to fraction form
    20,349.40/30,514.56 = 7,875.31/x
  3. Step 3: Cross multiply
    20,349.40x = 30,514.56 × 7,875.31
  4. Step 4: Simplify right side
    20,349.40x = 240,311,619.51
  5. Step 5: Solve for x
    x = 240,311,619.51/20,349.40
  6. Step 6: Final answer
    x = 11,809.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.