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Finding the Fourth Proportional to 16,498.72, 22,762.48 and 9,420.16

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Solution

The fourth proportional to 16,498.72, 22,762.48 and 9,420.16 is: 12,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.72 : 22,762.48 = 9,420.16 : x
  2. Step 2: Convert to fraction form
    16,498.72/22,762.48 = 9,420.16/x
  3. Step 3: Cross multiply
    16,498.72x = 22,762.48 × 9,420.16
  4. Step 4: Simplify right side
    16,498.72x = 214,426,203.60
  5. Step 5: Solve for x
    x = 214,426,203.60/16,498.72
  6. Step 6: Final answer
    x = 12,996.54

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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.