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Finding the Fourth Proportional to 16,494.47, 22,762.62 and 9,420.91

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Solution

The fourth proportional to 16,494.47, 22,762.62 and 9,420.91 is: 13,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.47 : 22,762.62 = 9,420.91 : x
  2. Step 2: Convert to fraction form
    16,494.47/22,762.62 = 9,420.91/x
  3. Step 3: Cross multiply
    16,494.47x = 22,762.62 × 9,420.91
  4. Step 4: Simplify right side
    16,494.47x = 214,444,480.57
  5. Step 5: Solve for x
    x = 214,444,480.57/16,494.47
  6. Step 6: Final answer
    x = 13,000.99

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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.