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Finding the Fourth Proportional to 27,409.59, 37,825.38 and 14,834.34

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Solution

The fourth proportional to 27,409.59, 37,825.38 and 14,834.34 is: 20,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.59 : 37,825.38 = 14,834.34 : x
  2. Step 2: Convert to fraction form
    27,409.59/37,825.38 = 14,834.34/x
  3. Step 3: Cross multiply
    27,409.59x = 37,825.38 × 14,834.34
  4. Step 4: Simplify right side
    27,409.59x = 561,114,547.55
  5. Step 5: Solve for x
    x = 561,114,547.55/27,409.59
  6. Step 6: Final answer
    x = 20,471.47

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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.