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Finding the Fourth Proportional to 18,966.96, 26,177.04 and 10,584

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Solution

The fourth proportional to 18,966.96, 26,177.04 and 10,584 is: 14,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966.96 : 26,177.04 = 10,584 : x
  2. Step 2: Convert to fraction form
    18,966.96/26,177.04 = 10,584/x
  3. Step 3: Cross multiply
    18,966.96x = 26,177.04 × 10,584
  4. Step 4: Simplify right side
    18,966.96x = 277,057,791.36
  5. Step 5: Solve for x
    x = 277,057,791.36/18,966.96
  6. Step 6: Final answer
    x = 14,607.39

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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.