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Finding the Fourth Proportional to 16,031.85, 24,044.13 and 7,706.67

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Solution

The fourth proportional to 16,031.85, 24,044.13 and 7,706.67 is: 11,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.85 : 24,044.13 = 7,706.67 : x
  2. Step 2: Convert to fraction form
    16,031.85/24,044.13 = 7,706.67/x
  3. Step 3: Cross multiply
    16,031.85x = 24,044.13 × 7,706.67
  4. Step 4: Simplify right side
    16,031.85x = 185,300,175.35
  5. Step 5: Solve for x
    x = 185,300,175.35/16,031.85
  6. Step 6: Final answer
    x = 11,558.25

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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.