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Finding the Fourth Proportional to 16,417, 24,609.10 and 15,181.36

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Solution

The fourth proportional to 16,417, 24,609.10 and 15,181.36 is: 22,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417 : 24,609.10 = 15,181.36 : x
  2. Step 2: Convert to fraction form
    16,417/24,609.10 = 15,181.36/x
  3. Step 3: Cross multiply
    16,417x = 24,609.10 × 15,181.36
  4. Step 4: Simplify right side
    16,417x = 373,599,606.38
  5. Step 5: Solve for x
    x = 373,599,606.38/16,417
  6. Step 6: Final answer
    x = 22,756.87

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