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Finding the Fourth Proportional to 12,346.76, 17,038.58 and 11,404.95

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Solution

The fourth proportional to 12,346.76, 17,038.58 and 11,404.95 is: 15,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.76 : 17,038.58 = 11,404.95 : x
  2. Step 2: Convert to fraction form
    12,346.76/17,038.58 = 11,404.95/x
  3. Step 3: Cross multiply
    12,346.76x = 17,038.58 × 11,404.95
  4. Step 4: Simplify right side
    12,346.76x = 194,324,152.97
  5. Step 5: Solve for x
    x = 194,324,152.97/12,346.76
  6. Step 6: Final answer
    x = 15,738.88

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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.