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Finding the Fourth Proportional to 16,638.50, 22,960.71 and 9,564.77

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Solution

The fourth proportional to 16,638.50, 22,960.71 and 9,564.77 is: 13,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.50 : 22,960.71 = 9,564.77 : x
  2. Step 2: Convert to fraction form
    16,638.50/22,960.71 = 9,564.77/x
  3. Step 3: Cross multiply
    16,638.50x = 22,960.71 × 9,564.77
  4. Step 4: Simplify right side
    16,638.50x = 219,613,795.38
  5. Step 5: Solve for x
    x = 219,613,795.38/16,638.50
  6. Step 6: Final answer
    x = 13,199.14

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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.