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Finding the Fourth Proportional to 16,605, 22,917.51 and 10,636.38

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Solution

The fourth proportional to 16,605, 22,917.51 and 10,636.38 is: 14,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605 : 22,917.51 = 10,636.38 : x
  2. Step 2: Convert to fraction form
    16,605/22,917.51 = 10,636.38/x
  3. Step 3: Cross multiply
    16,605x = 22,917.51 × 10,636.38
  4. Step 4: Simplify right side
    16,605x = 243,759,345.01
  5. Step 5: Solve for x
    x = 243,759,345.01/16,605
  6. Step 6: Final answer
    x = 14,679.88

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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.