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Finding the Fourth Proportional to 13,020.12, 17,967.80 and 7,051.80

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Solution

The fourth proportional to 13,020.12, 17,967.80 and 7,051.80 is: 9,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.12 : 17,967.80 = 7,051.80 : x
  2. Step 2: Convert to fraction form
    13,020.12/17,967.80 = 7,051.80/x
  3. Step 3: Cross multiply
    13,020.12x = 17,967.80 × 7,051.80
  4. Step 4: Simplify right side
    13,020.12x = 126,705,332.04
  5. Step 5: Solve for x
    x = 126,705,332.04/13,020.12
  6. Step 6: Final answer
    x = 9,731.50

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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.