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Finding the Fourth Proportional to 22,470.86, 33,727 and 11,385.26

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Solution

The fourth proportional to 22,470.86, 33,727 and 11,385.26 is: 17,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.86 : 33,727 = 11,385.26 : x
  2. Step 2: Convert to fraction form
    22,470.86/33,727 = 11,385.26/x
  3. Step 3: Cross multiply
    22,470.86x = 33,727 × 11,385.26
  4. Step 4: Simplify right side
    22,470.86x = 383,990,664.02
  5. Step 5: Solve for x
    x = 383,990,664.02/22,470.86
  6. Step 6: Final answer
    x = 17,088.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.