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Finding the Fourth Proportional to 26,722.50, 40,084.29 and 8,254.50

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Solution

The fourth proportional to 26,722.50, 40,084.29 and 8,254.50 is: 12,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,722.50 : 40,084.29 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    26,722.50/40,084.29 = 8,254.50/x
  3. Step 3: Cross multiply
    26,722.50x = 40,084.29 × 8,254.50
  4. Step 4: Simplify right side
    26,722.50x = 330,875,771.81
  5. Step 5: Solve for x
    x = 330,875,771.81/26,722.50
  6. Step 6: Final answer
    x = 12,381.92

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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.