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Finding the Fourth Proportional to 21,570.84, 29,764.82 and 12,619.80

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Solution

The fourth proportional to 21,570.84, 29,764.82 and 12,619.80 is: 17,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.84 : 29,764.82 = 12,619.80 : x
  2. Step 2: Convert to fraction form
    21,570.84/29,764.82 = 12,619.80/x
  3. Step 3: Cross multiply
    21,570.84x = 29,764.82 × 12,619.80
  4. Step 4: Simplify right side
    21,570.84x = 375,626,075.44
  5. Step 5: Solve for x
    x = 375,626,075.44/21,570.84
  6. Step 6: Final answer
    x = 17,413.60

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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.