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Finding the Fourth Proportional to 16,351.43, 22,564.76 and 9,637.34

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Solution

The fourth proportional to 16,351.43, 22,564.76 and 9,637.34 is: 13,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.43 : 22,564.76 = 9,637.34 : x
  2. Step 2: Convert to fraction form
    16,351.43/22,564.76 = 9,637.34/x
  3. Step 3: Cross multiply
    16,351.43x = 22,564.76 × 9,637.34
  4. Step 4: Simplify right side
    16,351.43x = 217,464,272.36
  5. Step 5: Solve for x
    x = 217,464,272.36/16,351.43
  6. Step 6: Final answer
    x = 13,299.40

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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.