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Finding the Fourth Proportional to 25,262, 34,861.56 and 14,084

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Solution

The fourth proportional to 25,262, 34,861.56 and 14,084 is: 19,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262 : 34,861.56 = 14,084 : x
  2. Step 2: Convert to fraction form
    25,262/34,861.56 = 14,084/x
  3. Step 3: Cross multiply
    25,262x = 34,861.56 × 14,084
  4. Step 4: Simplify right side
    25,262x = 490,990,211.04
  5. Step 5: Solve for x
    x = 490,990,211.04/25,262
  6. Step 6: Final answer
    x = 19,435.92

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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.