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Finding the Fourth Proportional to 24,413.50, 33,691.34 and 13,802.91

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Solution

The fourth proportional to 24,413.50, 33,691.34 and 13,802.91 is: 19,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.50 : 33,691.34 = 13,802.91 : x
  2. Step 2: Convert to fraction form
    24,413.50/33,691.34 = 13,802.91/x
  3. Step 3: Cross multiply
    24,413.50x = 33,691.34 × 13,802.91
  4. Step 4: Simplify right side
    24,413.50x = 465,038,441.96
  5. Step 5: Solve for x
    x = 465,038,441.96/24,413.50
  6. Step 6: Final answer
    x = 19,048.41

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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.