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Finding the Fourth Proportional to 24,676.50, 37,009.28 and 9,881.45

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Solution

The fourth proportional to 24,676.50, 37,009.28 and 9,881.45 is: 14,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.50 : 37,009.28 = 9,881.45 : x
  2. Step 2: Convert to fraction form
    24,676.50/37,009.28 = 9,881.45/x
  3. Step 3: Cross multiply
    24,676.50x = 37,009.28 × 9,881.45
  4. Step 4: Simplify right side
    24,676.50x = 365,705,164.81
  5. Step 5: Solve for x
    x = 365,705,164.81/24,676.50
  6. Step 6: Final answer
    x = 14,819.98

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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.