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Finding the Fourth Proportional to 29,849.32, 41,189.97 and 16,421.14

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Solution

The fourth proportional to 29,849.32, 41,189.97 and 16,421.14 is: 22,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.32 : 41,189.97 = 16,421.14 : x
  2. Step 2: Convert to fraction form
    29,849.32/41,189.97 = 16,421.14/x
  3. Step 3: Cross multiply
    29,849.32x = 41,189.97 × 16,421.14
  4. Step 4: Simplify right side
    29,849.32x = 676,386,263.97
  5. Step 5: Solve for x
    x = 676,386,263.97/29,849.32
  6. Step 6: Final answer
    x = 22,660.02

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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.