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Finding the Fourth Proportional to 13,147.32, 19,726.74 and 6,905.88

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Solution

The fourth proportional to 13,147.32, 19,726.74 and 6,905.88 is: 10,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.32 : 19,726.74 = 6,905.88 : x
  2. Step 2: Convert to fraction form
    13,147.32/19,726.74 = 6,905.88/x
  3. Step 3: Cross multiply
    13,147.32x = 19,726.74 × 6,905.88
  4. Step 4: Simplify right side
    13,147.32x = 136,230,499.23
  5. Step 5: Solve for x
    x = 136,230,499.23/13,147.32
  6. Step 6: Final answer
    x = 10,361.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.