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Finding the Fourth Proportional to 13,057.36, 18,019.47 and 7,089.28

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Solution

The fourth proportional to 13,057.36, 18,019.47 and 7,089.28 is: 9,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.36 : 18,019.47 = 7,089.28 : x
  2. Step 2: Convert to fraction form
    13,057.36/18,019.47 = 7,089.28/x
  3. Step 3: Cross multiply
    13,057.36x = 18,019.47 × 7,089.28
  4. Step 4: Simplify right side
    13,057.36x = 127,745,068.28
  5. Step 5: Solve for x
    x = 127,745,068.28/13,057.36
  6. Step 6: Final answer
    x = 9,783.38

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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.