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Finding the Fourth Proportional to 13,798.80, 19,042.38 and 7,511.16

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Solution

The fourth proportional to 13,798.80, 19,042.38 and 7,511.16 is: 10,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.80 : 19,042.38 = 7,511.16 : x
  2. Step 2: Convert to fraction form
    13,798.80/19,042.38 = 7,511.16/x
  3. Step 3: Cross multiply
    13,798.80x = 19,042.38 × 7,511.16
  4. Step 4: Simplify right side
    13,798.80x = 143,030,362.96
  5. Step 5: Solve for x
    x = 143,030,362.96/13,798.80
  6. Step 6: Final answer
    x = 10,365.42

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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.