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Finding the Fourth Proportional to 13,051.42, 18,010.84 and 7,083.06

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Solution

The fourth proportional to 13,051.42, 18,010.84 and 7,083.06 is: 9,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.42 : 18,010.84 = 7,083.06 : x
  2. Step 2: Convert to fraction form
    13,051.42/18,010.84 = 7,083.06/x
  3. Step 3: Cross multiply
    13,051.42x = 18,010.84 × 7,083.06
  4. Step 4: Simplify right side
    13,051.42x = 127,571,860.37
  5. Step 5: Solve for x
    x = 127,571,860.37/13,051.42
  6. Step 6: Final answer
    x = 9,774.56

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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.