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Finding the Fourth Proportional to 24,847.65, 34,290.08 and 14,237.25

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Solution

The fourth proportional to 24,847.65, 34,290.08 and 14,237.25 is: 19,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.65 : 34,290.08 = 14,237.25 : x
  2. Step 2: Convert to fraction form
    24,847.65/34,290.08 = 14,237.25/x
  3. Step 3: Cross multiply
    24,847.65x = 34,290.08 × 14,237.25
  4. Step 4: Simplify right side
    24,847.65x = 488,196,370.29
  5. Step 5: Solve for x
    x = 488,196,370.29/24,847.65
  6. Step 6: Final answer
    x = 19,647.59

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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.