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Finding the Fourth Proportional to 19,029.92, 26,262 and 10,646.48

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Solution

The fourth proportional to 19,029.92, 26,262 and 10,646.48 is: 14,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029.92 : 26,262 = 10,646.48 : x
  2. Step 2: Convert to fraction form
    19,029.92/26,262 = 10,646.48/x
  3. Step 3: Cross multiply
    19,029.92x = 26,262 × 10,646.48
  4. Step 4: Simplify right side
    19,029.92x = 279,597,857.76
  5. Step 5: Solve for x
    x = 279,597,857.76/19,029.92
  6. Step 6: Final answer
    x = 14,692.54

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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.