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Finding the Fourth Proportional to 26,506.96, 36,578.78 and 14,570.26

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Solution

The fourth proportional to 26,506.96, 36,578.78 and 14,570.26 is: 20,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.96 : 36,578.78 = 14,570.26 : x
  2. Step 2: Convert to fraction form
    26,506.96/36,578.78 = 14,570.26/x
  3. Step 3: Cross multiply
    26,506.96x = 36,578.78 × 14,570.26
  4. Step 4: Simplify right side
    26,506.96x = 532,962,335.08
  5. Step 5: Solve for x
    x = 532,962,335.08/26,506.96
  6. Step 6: Final answer
    x = 20,106.51

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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.