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Finding the Fourth Proportional to 23,564.41, 32,518.78 and 12,809.38

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Solution

The fourth proportional to 23,564.41, 32,518.78 and 12,809.38 is: 17,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.41 : 32,518.78 = 12,809.38 : x
  2. Step 2: Convert to fraction form
    23,564.41/32,518.78 = 12,809.38/x
  3. Step 3: Cross multiply
    23,564.41x = 32,518.78 × 12,809.38
  4. Step 4: Simplify right side
    23,564.41x = 416,545,410.16
  5. Step 5: Solve for x
    x = 416,545,410.16/23,564.41
  6. Step 6: Final answer
    x = 17,676.89

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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.