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Finding the Fourth Proportional to 13,810.92, 19,059.07 and 7,523.29

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Solution

The fourth proportional to 13,810.92, 19,059.07 and 7,523.29 is: 10,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.92 : 19,059.07 = 7,523.29 : x
  2. Step 2: Convert to fraction form
    13,810.92/19,059.07 = 7,523.29/x
  3. Step 3: Cross multiply
    13,810.92x = 19,059.07 × 7,523.29
  4. Step 4: Simplify right side
    13,810.92x = 143,386,891.93
  5. Step 5: Solve for x
    x = 143,386,891.93/13,810.92
  6. Step 6: Final answer
    x = 10,382.14

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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.