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Finding the Fourth Proportional to 11,419.80, 15,762.33 and 10,238.82

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Solution

The fourth proportional to 11,419.80, 15,762.33 and 10,238.82 is: 14,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.80 : 15,762.33 = 10,238.82 : x
  2. Step 2: Convert to fraction form
    11,419.80/15,762.33 = 10,238.82/x
  3. Step 3: Cross multiply
    11,419.80x = 15,762.33 × 10,238.82
  4. Step 4: Simplify right side
    11,419.80x = 161,387,659.65
  5. Step 5: Solve for x
    x = 161,387,659.65/11,419.80
  6. Step 6: Final answer
    x = 14,132.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.