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Finding the Fourth Proportional to 19,929.64, 27,504.15 and 10,977.14

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Solution

The fourth proportional to 19,929.64, 27,504.15 and 10,977.14 is: 15,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.64 : 27,504.15 = 10,977.14 : x
  2. Step 2: Convert to fraction form
    19,929.64/27,504.15 = 10,977.14/x
  3. Step 3: Cross multiply
    19,929.64x = 27,504.15 × 10,977.14
  4. Step 4: Simplify right side
    19,929.64x = 301,916,905.13
  5. Step 5: Solve for x
    x = 301,916,905.13/19,929.64
  6. Step 6: Final answer
    x = 15,149.14

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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.