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Finding the Fourth Proportional to 24,413.58, 33,690.06 and 13,802.76

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Solution

The fourth proportional to 24,413.58, 33,690.06 and 13,802.76 is: 19,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.58 : 33,690.06 = 13,802.76 : x
  2. Step 2: Convert to fraction form
    24,413.58/33,690.06 = 13,802.76/x
  3. Step 3: Cross multiply
    24,413.58x = 33,690.06 × 13,802.76
  4. Step 4: Simplify right side
    24,413.58x = 465,015,812.57
  5. Step 5: Solve for x
    x = 465,015,812.57/24,413.58
  6. Step 6: Final answer
    x = 19,047.42

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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.