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Finding the Fourth Proportional to 38,675.50, 58,017.84 and 13,718.03

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Solution

The fourth proportional to 38,675.50, 58,017.84 and 13,718.03 is: 20,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675.50 : 58,017.84 = 13,718.03 : x
  2. Step 2: Convert to fraction form
    38,675.50/58,017.84 = 13,718.03/x
  3. Step 3: Cross multiply
    38,675.50x = 58,017.84 × 13,718.03
  4. Step 4: Simplify right side
    38,675.50x = 795,890,733.39
  5. Step 5: Solve for x
    x = 795,890,733.39/38,675.50
  6. Step 6: Final answer
    x = 20,578.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.