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Finding the Fourth Proportional to 16,420.92, 24,602.20 and 9,400.64

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Solution

The fourth proportional to 16,420.92, 24,602.20 and 9,400.64 is: 14,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.92 : 24,602.20 = 9,400.64 : x
  2. Step 2: Convert to fraction form
    16,420.92/24,602.20 = 9,400.64/x
  3. Step 3: Cross multiply
    16,420.92x = 24,602.20 × 9,400.64
  4. Step 4: Simplify right side
    16,420.92x = 231,276,425.41
  5. Step 5: Solve for x
    x = 231,276,425.41/16,420.92
  6. Step 6: Final answer
    x = 14,084.26

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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.