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Finding the Fourth Proportional to 19,517.54, 26,934 and 10,564.86

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Solution

The fourth proportional to 19,517.54, 26,934 and 10,564.86 is: 14,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.54 : 26,934 = 10,564.86 : x
  2. Step 2: Convert to fraction form
    19,517.54/26,934 = 10,564.86/x
  3. Step 3: Cross multiply
    19,517.54x = 26,934 × 10,564.86
  4. Step 4: Simplify right side
    19,517.54x = 284,553,939.24
  5. Step 5: Solve for x
    x = 284,553,939.24/19,517.54
  6. Step 6: Final answer
    x = 14,579.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.