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Finding the Fourth Proportional to 13,020.16, 17,967.72 and 7,051.81

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Solution

The fourth proportional to 13,020.16, 17,967.72 and 7,051.81 is: 9,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.16 : 17,967.72 = 7,051.81 : x
  2. Step 2: Convert to fraction form
    13,020.16/17,967.72 = 7,051.81/x
  3. Step 3: Cross multiply
    13,020.16x = 17,967.72 × 7,051.81
  4. Step 4: Simplify right side
    13,020.16x = 126,704,947.57
  5. Step 5: Solve for x
    x = 126,704,947.57/13,020.16
  6. Step 6: Final answer
    x = 9,731.44

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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.