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Finding the Fourth Proportional to 16,946.63, 23,384.66 and 9,777.20

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Solution

The fourth proportional to 16,946.63, 23,384.66 and 9,777.20 is: 13,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.63 : 23,384.66 = 9,777.20 : x
  2. Step 2: Convert to fraction form
    16,946.63/23,384.66 = 9,777.20/x
  3. Step 3: Cross multiply
    16,946.63x = 23,384.66 × 9,777.20
  4. Step 4: Simplify right side
    16,946.63x = 228,636,331.94
  5. Step 5: Solve for x
    x = 228,636,331.94/16,946.63
  6. Step 6: Final answer
    x = 13,491.56

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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.