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Finding the Fourth Proportional to 24,149.25, 33,326.09 and 14,084.67

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Solution

The fourth proportional to 24,149.25, 33,326.09 and 14,084.67 is: 19,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.25 : 33,326.09 = 14,084.67 : x
  2. Step 2: Convert to fraction form
    24,149.25/33,326.09 = 14,084.67/x
  3. Step 3: Cross multiply
    24,149.25x = 33,326.09 × 14,084.67
  4. Step 4: Simplify right side
    24,149.25x = 469,386,980.04
  5. Step 5: Solve for x
    x = 469,386,980.04/24,149.25
  6. Step 6: Final answer
    x = 19,436.92

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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.