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Finding the Fourth Proportional to 26,506.82, 36,578.68 and 14,568.53

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Solution

The fourth proportional to 26,506.82, 36,578.68 and 14,568.53 is: 20,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.82 : 36,578.68 = 14,568.53 : x
  2. Step 2: Convert to fraction form
    26,506.82/36,578.68 = 14,568.53/x
  3. Step 3: Cross multiply
    26,506.82x = 36,578.68 × 14,568.53
  4. Step 4: Simplify right side
    26,506.82x = 532,897,377.63
  5. Step 5: Solve for x
    x = 532,897,377.63/26,506.82
  6. Step 6: Final answer
    x = 20,104.16

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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.