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Finding the Fourth Proportional to 20,578.51, 28,398.50 and 11,147.14

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Solution

The fourth proportional to 20,578.51, 28,398.50 and 11,147.14 is: 15,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.51 : 28,398.50 = 11,147.14 : x
  2. Step 2: Convert to fraction form
    20,578.51/28,398.50 = 11,147.14/x
  3. Step 3: Cross multiply
    20,578.51x = 28,398.50 × 11,147.14
  4. Step 4: Simplify right side
    20,578.51x = 316,562,055.29
  5. Step 5: Solve for x
    x = 316,562,055.29/20,578.51
  6. Step 6: Final answer
    x = 15,383.14

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