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Finding the Fourth Proportional to 16,246.90, 22,420.47 and 9,076.96

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Solution

The fourth proportional to 16,246.90, 22,420.47 and 9,076.96 is: 12,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.90 : 22,420.47 = 9,076.96 : x
  2. Step 2: Convert to fraction form
    16,246.90/22,420.47 = 9,076.96/x
  3. Step 3: Cross multiply
    16,246.90x = 22,420.47 × 9,076.96
  4. Step 4: Simplify right side
    16,246.90x = 203,509,745.91
  5. Step 5: Solve for x
    x = 203,509,745.91/16,246.90
  6. Step 6: Final answer
    x = 12,526.06

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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.