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Finding the Fourth Proportional to 13,019.89, 17,967.47 and 7,051.61

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Solution

The fourth proportional to 13,019.89, 17,967.47 and 7,051.61 is: 9,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.89 : 17,967.47 = 7,051.61 : x
  2. Step 2: Convert to fraction form
    13,019.89/17,967.47 = 7,051.61/x
  3. Step 3: Cross multiply
    13,019.89x = 17,967.47 × 7,051.61
  4. Step 4: Simplify right side
    13,019.89x = 126,699,591.13
  5. Step 5: Solve for x
    x = 126,699,591.13/13,019.89
  6. Step 6: Final answer
    x = 9,731.23

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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.