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Finding the Fourth Proportional to 24,869, 34,319.22 and 14,262.14

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Solution

The fourth proportional to 24,869, 34,319.22 and 14,262.14 is: 19,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 34,319.22 = 14,262.14 : x
  2. Step 2: Convert to fraction form
    24,869/34,319.22 = 14,262.14/x
  3. Step 3: Cross multiply
    24,869x = 34,319.22 × 14,262.14
  4. Step 4: Simplify right side
    24,869x = 489,465,520.33
  5. Step 5: Solve for x
    x = 489,465,520.33/24,869
  6. Step 6: Final answer
    x = 19,681.75

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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.