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Finding the Fourth Proportional to 16,998.48, 25,507.68 and 7,137

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Solution

The fourth proportional to 16,998.48, 25,507.68 and 7,137 is: 10,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,998.48 : 25,507.68 = 7,137 : x
  2. Step 2: Convert to fraction form
    16,998.48/25,507.68 = 7,137/x
  3. Step 3: Cross multiply
    16,998.48x = 25,507.68 × 7,137
  4. Step 4: Simplify right side
    16,998.48x = 182,048,312.16
  5. Step 5: Solve for x
    x = 182,048,312.16/16,998.48
  6. Step 6: Final answer
    x = 10,709.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.