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Finding the Fourth Proportional to 24,413.32, 33,689.82 and 13,802.32

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Solution

The fourth proportional to 24,413.32, 33,689.82 and 13,802.32 is: 19,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.32 : 33,689.82 = 13,802.32 : x
  2. Step 2: Convert to fraction form
    24,413.32/33,689.82 = 13,802.32/x
  3. Step 3: Cross multiply
    24,413.32x = 33,689.82 × 13,802.32
  4. Step 4: Simplify right side
    24,413.32x = 464,997,676.38
  5. Step 5: Solve for x
    x = 464,997,676.38/24,413.32
  6. Step 6: Final answer
    x = 19,046.88

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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.