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Finding the Fourth Proportional to 13,260.76, 19,810.93 and 8,542.31

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Solution

The fourth proportional to 13,260.76, 19,810.93 and 8,542.31 is: 12,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260.76 : 19,810.93 = 8,542.31 : x
  2. Step 2: Convert to fraction form
    13,260.76/19,810.93 = 8,542.31/x
  3. Step 3: Cross multiply
    13,260.76x = 19,810.93 × 8,542.31
  4. Step 4: Simplify right side
    13,260.76x = 169,231,112.49
  5. Step 5: Solve for x
    x = 169,231,112.49/13,260.76
  6. Step 6: Final answer
    x = 12,761.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.