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Finding the Fourth Proportional to 13,057.89, 18,019.38 and 7,089.42

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Solution

The fourth proportional to 13,057.89, 18,019.38 and 7,089.42 is: 9,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.89 : 18,019.38 = 7,089.42 : x
  2. Step 2: Convert to fraction form
    13,057.89/18,019.38 = 7,089.42/x
  3. Step 3: Cross multiply
    13,057.89x = 18,019.38 × 7,089.42
  4. Step 4: Simplify right side
    13,057.89x = 127,746,952.96
  5. Step 5: Solve for x
    x = 127,746,952.96/13,057.89
  6. Step 6: Final answer
    x = 9,783.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.