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Finding the Fourth Proportional to 12,451.60, 17,175.72 and 9,794.80

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Solution

The fourth proportional to 12,451.60, 17,175.72 and 9,794.80 is: 13,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.60 : 17,175.72 = 9,794.80 : x
  2. Step 2: Convert to fraction form
    12,451.60/17,175.72 = 9,794.80/x
  3. Step 3: Cross multiply
    12,451.60x = 17,175.72 × 9,794.80
  4. Step 4: Simplify right side
    12,451.60x = 168,232,742.26
  5. Step 5: Solve for x
    x = 168,232,742.26/12,451.60
  6. Step 6: Final answer
    x = 13,510.93

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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.