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Finding the Fourth Proportional to 13,028.30, 19,541.93 and 9,068.12

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Solution

The fourth proportional to 13,028.30, 19,541.93 and 9,068.12 is: 13,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.30 : 19,541.93 = 9,068.12 : x
  2. Step 2: Convert to fraction form
    13,028.30/19,541.93 = 9,068.12/x
  3. Step 3: Cross multiply
    13,028.30x = 19,541.93 × 9,068.12
  4. Step 4: Simplify right side
    13,028.30x = 177,208,496.50
  5. Step 5: Solve for x
    x = 177,208,496.50/13,028.30
  6. Step 6: Final answer
    x = 13,601.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.