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Finding the Fourth Proportional to 12,556.42, 17,323.56 and 7,175

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Solution

The fourth proportional to 12,556.42, 17,323.56 and 7,175 is: 9,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.42 : 17,323.56 = 7,175 : x
  2. Step 2: Convert to fraction form
    12,556.42/17,323.56 = 7,175/x
  3. Step 3: Cross multiply
    12,556.42x = 17,323.56 × 7,175
  4. Step 4: Simplify right side
    12,556.42x = 124,296,543.00
  5. Step 5: Solve for x
    x = 124,296,543.00/12,556.42
  6. Step 6: Final answer
    x = 9,899.04

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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.