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Finding the Fourth Proportional to 12,534, 18,809.64 and 4,326

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Solution

The fourth proportional to 12,534, 18,809.64 and 4,326 is: 6,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 18,809.64 = 4,326 : x
  2. Step 2: Convert to fraction form
    12,534/18,809.64 = 4,326/x
  3. Step 3: Cross multiply
    12,534x = 18,809.64 × 4,326
  4. Step 4: Simplify right side
    12,534x = 81,370,502.64
  5. Step 5: Solve for x
    x = 81,370,502.64/12,534
  6. Step 6: Final answer
    x = 6,491.98

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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.