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Finding the Fourth Proportional to 12,898.38, 17,799.77 and 7,596.46

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Solution

The fourth proportional to 12,898.38, 17,799.77 and 7,596.46 is: 10,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.38 : 17,799.77 = 7,596.46 : x
  2. Step 2: Convert to fraction form
    12,898.38/17,799.77 = 7,596.46/x
  3. Step 3: Cross multiply
    12,898.38x = 17,799.77 × 7,596.46
  4. Step 4: Simplify right side
    12,898.38x = 135,215,240.81
  5. Step 5: Solve for x
    x = 135,215,240.81/12,898.38
  6. Step 6: Final answer
    x = 10,483.12

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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.