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Finding the Fourth Proportional to 27,409.46, 37,825.02 and 14,834.18

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Solution

The fourth proportional to 27,409.46, 37,825.02 and 14,834.18 is: 20,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.46 : 37,825.02 = 14,834.18 : x
  2. Step 2: Convert to fraction form
    27,409.46/37,825.02 = 14,834.18/x
  3. Step 3: Cross multiply
    27,409.46x = 37,825.02 × 14,834.18
  4. Step 4: Simplify right side
    27,409.46x = 561,103,155.18
  5. Step 5: Solve for x
    x = 561,103,155.18/27,409.46
  6. Step 6: Final answer
    x = 20,471.15

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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.