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Finding the Fourth Proportional to 24,676.67, 37,031.40 and 11,530.06

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Solution

The fourth proportional to 24,676.67, 37,031.40 and 11,530.06 is: 17,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.67 : 37,031.40 = 11,530.06 : x
  2. Step 2: Convert to fraction form
    24,676.67/37,031.40 = 11,530.06/x
  3. Step 3: Cross multiply
    24,676.67x = 37,031.40 × 11,530.06
  4. Step 4: Simplify right side
    24,676.67x = 426,974,263.88
  5. Step 5: Solve for x
    x = 426,974,263.88/24,676.67
  6. Step 6: Final answer
    x = 17,302.75

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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.