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Finding the Fourth Proportional to 14,775.96, 22,146.31 and 6,867.79

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Solution

The fourth proportional to 14,775.96, 22,146.31 and 6,867.79 is: 10,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.96 : 22,146.31 = 6,867.79 : x
  2. Step 2: Convert to fraction form
    14,775.96/22,146.31 = 6,867.79/x
  3. Step 3: Cross multiply
    14,775.96x = 22,146.31 × 6,867.79
  4. Step 4: Simplify right side
    14,775.96x = 152,096,206.35
  5. Step 5: Solve for x
    x = 152,096,206.35/14,775.96
  6. Step 6: Final answer
    x = 10,293.49

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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.