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Finding the Fourth Proportional to 16,494.22, 22,762.29 and 9,420.65

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Solution

The fourth proportional to 16,494.22, 22,762.29 and 9,420.65 is: 13,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.22 : 22,762.29 = 9,420.65 : x
  2. Step 2: Convert to fraction form
    16,494.22/22,762.29 = 9,420.65/x
  3. Step 3: Cross multiply
    16,494.22x = 22,762.29 × 9,420.65
  4. Step 4: Simplify right side
    16,494.22x = 214,435,567.29
  5. Step 5: Solve for x
    x = 214,435,567.29/16,494.22
  6. Step 6: Final answer
    x = 13,000.65

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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.