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Finding the Fourth Proportional to 16,545, 22,851.60 and 10,946.28

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Solution

The fourth proportional to 16,545, 22,851.60 and 10,946.28 is: 15,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545 : 22,851.60 = 10,946.28 : x
  2. Step 2: Convert to fraction form
    16,545/22,851.60 = 10,946.28/x
  3. Step 3: Cross multiply
    16,545x = 22,851.60 × 10,946.28
  4. Step 4: Simplify right side
    16,545x = 250,140,012.05
  5. Step 5: Solve for x
    x = 250,140,012.05/16,545
  6. Step 6: Final answer
    x = 15,118.77

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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.