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Finding the Fourth Proportional to 13,051.36, 18,010.92 and 7,083.14

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Solution

The fourth proportional to 13,051.36, 18,010.92 and 7,083.14 is: 9,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.36 : 18,010.92 = 7,083.14 : x
  2. Step 2: Convert to fraction form
    13,051.36/18,010.92 = 7,083.14/x
  3. Step 3: Cross multiply
    13,051.36x = 18,010.92 × 7,083.14
  4. Step 4: Simplify right side
    13,051.36x = 127,573,867.89
  5. Step 5: Solve for x
    x = 127,573,867.89/13,051.36
  6. Step 6: Final answer
    x = 9,774.76

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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.