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Finding the Fourth Proportional to 13,175.94, 19,746.48 and 6,923.17

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Solution

The fourth proportional to 13,175.94, 19,746.48 and 6,923.17 is: 10,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.94 : 19,746.48 = 6,923.17 : x
  2. Step 2: Convert to fraction form
    13,175.94/19,746.48 = 6,923.17/x
  3. Step 3: Cross multiply
    13,175.94x = 19,746.48 × 6,923.17
  4. Step 4: Simplify right side
    13,175.94x = 136,708,237.94
  5. Step 5: Solve for x
    x = 136,708,237.94/13,175.94
  6. Step 6: Final answer
    x = 10,375.60

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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.