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Finding the Fourth Proportional to 27,304.68, 40,955.58 and 13,449

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Solution

The fourth proportional to 27,304.68, 40,955.58 and 13,449 is: 20,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,304.68 : 40,955.58 = 13,449 : x
  2. Step 2: Convert to fraction form
    27,304.68/40,955.58 = 13,449/x
  3. Step 3: Cross multiply
    27,304.68x = 40,955.58 × 13,449
  4. Step 4: Simplify right side
    27,304.68x = 550,811,595.42
  5. Step 5: Solve for x
    x = 550,811,595.42/27,304.68
  6. Step 6: Final answer
    x = 20,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.