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Finding the Fourth Proportional to 27,915.84, 38,524.23 and 15,340.50

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Solution

The fourth proportional to 27,915.84, 38,524.23 and 15,340.50 is: 21,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.84 : 38,524.23 = 15,340.50 : x
  2. Step 2: Convert to fraction form
    27,915.84/38,524.23 = 15,340.50/x
  3. Step 3: Cross multiply
    27,915.84x = 38,524.23 × 15,340.50
  4. Step 4: Simplify right side
    27,915.84x = 590,980,950.32
  5. Step 5: Solve for x
    x = 590,980,950.32/27,915.84
  6. Step 6: Final answer
    x = 21,170.09

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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.