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Finding the Fourth Proportional to 26,384.67, 39,578.22 and 14,689.08

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Solution

The fourth proportional to 26,384.67, 39,578.22 and 14,689.08 is: 22,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.67 : 39,578.22 = 14,689.08 : x
  2. Step 2: Convert to fraction form
    26,384.67/39,578.22 = 14,689.08/x
  3. Step 3: Cross multiply
    26,384.67x = 39,578.22 × 14,689.08
  4. Step 4: Simplify right side
    26,384.67x = 581,367,639.84
  5. Step 5: Solve for x
    x = 581,367,639.84/26,384.67
  6. Step 6: Final answer
    x = 22,034.30

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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.