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Finding the Fourth Proportional to 14,828, 20,462.64 and 9,239

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Solution

The fourth proportional to 14,828, 20,462.64 and 9,239 is: 12,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828 : 20,462.64 = 9,239 : x
  2. Step 2: Convert to fraction form
    14,828/20,462.64 = 9,239/x
  3. Step 3: Cross multiply
    14,828x = 20,462.64 × 9,239
  4. Step 4: Simplify right side
    14,828x = 189,054,330.96
  5. Step 5: Solve for x
    x = 189,054,330.96/14,828
  6. Step 6: Final answer
    x = 12,749.82

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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.