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Finding the Fourth Proportional to 16,384.60, 22,612.26 and 9,309.16

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Solution

The fourth proportional to 16,384.60, 22,612.26 and 9,309.16 is: 12,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.60 : 22,612.26 = 9,309.16 : x
  2. Step 2: Convert to fraction form
    16,384.60/22,612.26 = 9,309.16/x
  3. Step 3: Cross multiply
    16,384.60x = 22,612.26 × 9,309.16
  4. Step 4: Simplify right side
    16,384.60x = 210,501,146.30
  5. Step 5: Solve for x
    x = 210,501,146.30/16,384.60
  6. Step 6: Final answer
    x = 12,847.50

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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.