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Finding the Fourth Proportional to 12,840.51, 17,720.28 and 7,175.07

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Solution

The fourth proportional to 12,840.51, 17,720.28 and 7,175.07 is: 9,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.51 : 17,720.28 = 7,175.07 : x
  2. Step 2: Convert to fraction form
    12,840.51/17,720.28 = 7,175.07/x
  3. Step 3: Cross multiply
    12,840.51x = 17,720.28 × 7,175.07
  4. Step 4: Simplify right side
    12,840.51x = 127,144,249.42
  5. Step 5: Solve for x
    x = 127,144,249.42/12,840.51
  6. Step 6: Final answer
    x = 9,901.81

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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.