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Finding the Fourth Proportional to 26,106.84, 39,165.12 and 8,577.90

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Solution

The fourth proportional to 26,106.84, 39,165.12 and 8,577.90 is: 12,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106.84 : 39,165.12 = 8,577.90 : x
  2. Step 2: Convert to fraction form
    26,106.84/39,165.12 = 8,577.90/x
  3. Step 3: Cross multiply
    26,106.84x = 39,165.12 × 8,577.90
  4. Step 4: Simplify right side
    26,106.84x = 335,954,482.85
  5. Step 5: Solve for x
    x = 335,954,482.85/26,106.84
  6. Step 6: Final answer
    x = 12,868.45

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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.