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Finding the Fourth Proportional to 24,676.92, 37,031.78 and 11,530.32

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Solution

The fourth proportional to 24,676.92, 37,031.78 and 11,530.32 is: 17,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.92 : 37,031.78 = 11,530.32 : x
  2. Step 2: Convert to fraction form
    24,676.92/37,031.78 = 11,530.32/x
  3. Step 3: Cross multiply
    24,676.92x = 37,031.78 × 11,530.32
  4. Step 4: Simplify right side
    24,676.92x = 426,988,273.57
  5. Step 5: Solve for x
    x = 426,988,273.57/24,676.92
  6. Step 6: Final answer
    x = 17,303.14

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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.