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Finding the Fourth Proportional to 20,389.54, 28,138 and 14,431.90

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Solution

The fourth proportional to 20,389.54, 28,138 and 14,431.90 is: 19,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.54 : 28,138 = 14,431.90 : x
  2. Step 2: Convert to fraction form
    20,389.54/28,138 = 14,431.90/x
  3. Step 3: Cross multiply
    20,389.54x = 28,138 × 14,431.90
  4. Step 4: Simplify right side
    20,389.54x = 406,084,802.20
  5. Step 5: Solve for x
    x = 406,084,802.20/20,389.54
  6. Step 6: Final answer
    x = 19,916.33

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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.