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Finding the Fourth Proportional to 16,842.94, 25,261 and 5,743.61

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Solution

The fourth proportional to 16,842.94, 25,261 and 5,743.61 is: 8,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.94 : 25,261 = 5,743.61 : x
  2. Step 2: Convert to fraction form
    16,842.94/25,261 = 5,743.61/x
  3. Step 3: Cross multiply
    16,842.94x = 25,261 × 5,743.61
  4. Step 4: Simplify right side
    16,842.94x = 145,089,332.21
  5. Step 5: Solve for x
    x = 145,089,332.21/16,842.94
  6. Step 6: Final answer
    x = 8,614.25

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Why These Related Problems?

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