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Finding the Fourth Proportional to 24,419.82, 33,693.75 and 13,807.14

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Solution

The fourth proportional to 24,419.82, 33,693.75 and 13,807.14 is: 19,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.82 : 33,693.75 = 13,807.14 : x
  2. Step 2: Convert to fraction form
    24,419.82/33,693.75 = 13,807.14/x
  3. Step 3: Cross multiply
    24,419.82x = 33,693.75 × 13,807.14
  4. Step 4: Simplify right side
    24,419.82x = 465,214,323.38
  5. Step 5: Solve for x
    x = 465,214,323.38/24,419.82
  6. Step 6: Final answer
    x = 19,050.69

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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.