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Finding the Fourth Proportional to 15,196, 22,795.28 and 4,252

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Solution

The fourth proportional to 15,196, 22,795.28 and 4,252 is: 6,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196 : 22,795.28 = 4,252 : x
  2. Step 2: Convert to fraction form
    15,196/22,795.28 = 4,252/x
  3. Step 3: Cross multiply
    15,196x = 22,795.28 × 4,252
  4. Step 4: Simplify right side
    15,196x = 96,925,530.56
  5. Step 5: Solve for x
    x = 96,925,530.56/15,196
  6. Step 6: Final answer
    x = 6,378.36

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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.