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Finding the Fourth Proportional to 14,783.89, 22,182.33 and 7,762.27

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Solution

The fourth proportional to 14,783.89, 22,182.33 and 7,762.27 is: 11,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.89 : 22,182.33 = 7,762.27 : x
  2. Step 2: Convert to fraction form
    14,783.89/22,182.33 = 7,762.27/x
  3. Step 3: Cross multiply
    14,783.89x = 22,182.33 × 7,762.27
  4. Step 4: Simplify right side
    14,783.89x = 172,185,234.69
  5. Step 5: Solve for x
    x = 172,185,234.69/14,783.89
  6. Step 6: Final answer
    x = 11,646.82

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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.