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Finding the Fourth Proportional to 21,698.68, 29,944.02 and 12,138.58

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Solution

The fourth proportional to 21,698.68, 29,944.02 and 12,138.58 is: 16,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.68 : 29,944.02 = 12,138.58 : x
  2. Step 2: Convert to fraction form
    21,698.68/29,944.02 = 12,138.58/x
  3. Step 3: Cross multiply
    21,698.68x = 29,944.02 × 12,138.58
  4. Step 4: Simplify right side
    21,698.68x = 363,477,882.29
  5. Step 5: Solve for x
    x = 363,477,882.29/21,698.68
  6. Step 6: Final answer
    x = 16,751.15

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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.