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Finding the Fourth Proportional to 13,032.56, 17,980.74 and 7,994.36

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Solution

The fourth proportional to 13,032.56, 17,980.74 and 7,994.36 is: 11,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.56 : 17,980.74 = 7,994.36 : x
  2. Step 2: Convert to fraction form
    13,032.56/17,980.74 = 7,994.36/x
  3. Step 3: Cross multiply
    13,032.56x = 17,980.74 × 7,994.36
  4. Step 4: Simplify right side
    13,032.56x = 143,744,508.63
  5. Step 5: Solve for x
    x = 143,744,508.63/13,032.56
  6. Step 6: Final answer
    x = 11,029.64

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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.