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Finding the Fourth Proportional to 28,196.74, 38,915.64 and 16,257.74

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Solution

The fourth proportional to 28,196.74, 38,915.64 and 16,257.74 is: 22,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,196.74 : 38,915.64 = 16,257.74 : x
  2. Step 2: Convert to fraction form
    28,196.74/38,915.64 = 16,257.74/x
  3. Step 3: Cross multiply
    28,196.74x = 38,915.64 × 16,257.74
  4. Step 4: Simplify right side
    28,196.74x = 632,680,357.05
  5. Step 5: Solve for x
    x = 632,680,357.05/28,196.74
  6. Step 6: Final answer
    x = 22,438.07

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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.