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Finding the Fourth Proportional to 16,598, 22,905.64 and 9,146

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Solution

The fourth proportional to 16,598, 22,905.64 and 9,146 is: 12,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598 : 22,905.64 = 9,146 : x
  2. Step 2: Convert to fraction form
    16,598/22,905.64 = 9,146/x
  3. Step 3: Cross multiply
    16,598x = 22,905.64 × 9,146
  4. Step 4: Simplify right side
    16,598x = 209,494,983.44
  5. Step 5: Solve for x
    x = 209,494,983.44/16,598
  6. Step 6: Final answer
    x = 12,621.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.