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Finding the Fourth Proportional to 13,057.35, 18,019.16 and 7,089.02

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Solution

The fourth proportional to 13,057.35, 18,019.16 and 7,089.02 is: 9,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.35 : 18,019.16 = 7,089.02 : x
  2. Step 2: Convert to fraction form
    13,057.35/18,019.16 = 7,089.02/x
  3. Step 3: Cross multiply
    13,057.35x = 18,019.16 × 7,089.02
  4. Step 4: Simplify right side
    13,057.35x = 127,738,060.08
  5. Step 5: Solve for x
    x = 127,738,060.08/13,057.35
  6. Step 6: Final answer
    x = 9,782.85

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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.