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Finding the Fourth Proportional to 27,674.84, 41,526.84 and 12,103.40

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Solution

The fourth proportional to 27,674.84, 41,526.84 and 12,103.40 is: 18,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.84 : 41,526.84 = 12,103.40 : x
  2. Step 2: Convert to fraction form
    27,674.84/41,526.84 = 12,103.40/x
  3. Step 3: Cross multiply
    27,674.84x = 41,526.84 × 12,103.40
  4. Step 4: Simplify right side
    27,674.84x = 502,615,955.26
  5. Step 5: Solve for x
    x = 502,615,955.26/27,674.84
  6. Step 6: Final answer
    x = 18,161.48

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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.