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Finding the Fourth Proportional to 21,514.51, 32,242.60 and 10,399.08

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Solution

The fourth proportional to 21,514.51, 32,242.60 and 10,399.08 is: 15,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.51 : 32,242.60 = 10,399.08 : x
  2. Step 2: Convert to fraction form
    21,514.51/32,242.60 = 10,399.08/x
  3. Step 3: Cross multiply
    21,514.51x = 32,242.60 × 10,399.08
  4. Step 4: Simplify right side
    21,514.51x = 335,293,324.81
  5. Step 5: Solve for x
    x = 335,293,324.81/21,514.51
  6. Step 6: Final answer
    x = 15,584.52

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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.