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Finding the Fourth Proportional to 19,709.31, 27,152.64 and 13,730.16

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Solution

The fourth proportional to 19,709.31, 27,152.64 and 13,730.16 is: 18,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.31 : 27,152.64 = 13,730.16 : x
  2. Step 2: Convert to fraction form
    19,709.31/27,152.64 = 13,730.16/x
  3. Step 3: Cross multiply
    19,709.31x = 27,152.64 × 13,730.16
  4. Step 4: Simplify right side
    19,709.31x = 372,810,091.62
  5. Step 5: Solve for x
    x = 372,810,091.62/19,709.31
  6. Step 6: Final answer
    x = 18,915.43

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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.