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Finding the Fourth Proportional to 24,788.44, 37,188.12 and 11,640.96

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Solution

The fourth proportional to 24,788.44, 37,188.12 and 11,640.96 is: 17,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.44 : 37,188.12 = 11,640.96 : x
  2. Step 2: Convert to fraction form
    24,788.44/37,188.12 = 11,640.96/x
  3. Step 3: Cross multiply
    24,788.44x = 37,188.12 × 11,640.96
  4. Step 4: Simplify right side
    24,788.44x = 432,905,417.40
  5. Step 5: Solve for x
    x = 432,905,417.40/24,788.44
  6. Step 6: Final answer
    x = 17,464.00

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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.