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Finding the Fourth Proportional to 24,919.71, 37,380.59 and 11,605.11

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Solution

The fourth proportional to 24,919.71, 37,380.59 and 11,605.11 is: 17,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.71 : 37,380.59 = 11,605.11 : x
  2. Step 2: Convert to fraction form
    24,919.71/37,380.59 = 11,605.11/x
  3. Step 3: Cross multiply
    24,919.71x = 37,380.59 × 11,605.11
  4. Step 4: Simplify right side
    24,919.71x = 433,805,858.81
  5. Step 5: Solve for x
    x = 433,805,858.81/24,919.71
  6. Step 6: Final answer
    x = 17,408.14

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Why These Related Problems?

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