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Finding the Fourth Proportional to 27,651.84, 38,176.32 and 18,700.80

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Solution

The fourth proportional to 27,651.84, 38,176.32 and 18,700.80 is: 25,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.84 : 38,176.32 = 18,700.80 : x
  2. Step 2: Convert to fraction form
    27,651.84/38,176.32 = 18,700.80/x
  3. Step 3: Cross multiply
    27,651.84x = 38,176.32 × 18,700.80
  4. Step 4: Simplify right side
    27,651.84x = 713,927,725.06
  5. Step 5: Solve for x
    x = 713,927,725.06/27,651.84
  6. Step 6: Final answer
    x = 25,818.45

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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.