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Finding the Fourth Proportional to 19,665.64, 27,138.90 and 10,713.16

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Solution

The fourth proportional to 19,665.64, 27,138.90 and 10,713.16 is: 14,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.64 : 27,138.90 = 10,713.16 : x
  2. Step 2: Convert to fraction form
    19,665.64/27,138.90 = 10,713.16/x
  3. Step 3: Cross multiply
    19,665.64x = 27,138.90 × 10,713.16
  4. Step 4: Simplify right side
    19,665.64x = 290,743,391.76
  5. Step 5: Solve for x
    x = 290,743,391.76/19,665.64
  6. Step 6: Final answer
    x = 14,784.34

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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.