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Finding the Fourth Proportional to 13,057.83, 18,019.94 and 7,089.55

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Solution

The fourth proportional to 13,057.83, 18,019.94 and 7,089.55 is: 9,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.83 : 18,019.94 = 7,089.55 : x
  2. Step 2: Convert to fraction form
    13,057.83/18,019.94 = 7,089.55/x
  3. Step 3: Cross multiply
    13,057.83x = 18,019.94 × 7,089.55
  4. Step 4: Simplify right side
    13,057.83x = 127,753,185.13
  5. Step 5: Solve for x
    x = 127,753,185.13/13,057.83
  6. Step 6: Final answer
    x = 9,783.65

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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.