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Finding the Fourth Proportional to 12,496.16, 18,742.28 and 4,176.11

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Solution

The fourth proportional to 12,496.16, 18,742.28 and 4,176.11 is: 6,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.16 : 18,742.28 = 4,176.11 : x
  2. Step 2: Convert to fraction form
    12,496.16/18,742.28 = 4,176.11/x
  3. Step 3: Cross multiply
    12,496.16x = 18,742.28 × 4,176.11
  4. Step 4: Simplify right side
    12,496.16x = 78,269,708.34
  5. Step 5: Solve for x
    x = 78,269,708.34/12,496.16
  6. Step 6: Final answer
    x = 6,263.50

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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.