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Finding the Fourth Proportional to 27,409.63, 37,825.21 and 14,834.38

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Solution

The fourth proportional to 27,409.63, 37,825.21 and 14,834.38 is: 20,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.63 : 37,825.21 = 14,834.38 : x
  2. Step 2: Convert to fraction form
    27,409.63/37,825.21 = 14,834.38/x
  3. Step 3: Cross multiply
    27,409.63x = 37,825.21 × 14,834.38
  4. Step 4: Simplify right side
    27,409.63x = 561,113,538.72
  5. Step 5: Solve for x
    x = 561,113,538.72/27,409.63
  6. Step 6: Final answer
    x = 20,471.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.