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Finding the Fourth Proportional to 16,339.34, 24,512.70 and 5,951

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Solution

The fourth proportional to 16,339.34, 24,512.70 and 5,951 is: 8,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.34 : 24,512.70 = 5,951 : x
  2. Step 2: Convert to fraction form
    16,339.34/24,512.70 = 5,951/x
  3. Step 3: Cross multiply
    16,339.34x = 24,512.70 × 5,951
  4. Step 4: Simplify right side
    16,339.34x = 145,875,077.70
  5. Step 5: Solve for x
    x = 145,875,077.70/16,339.34
  6. Step 6: Final answer
    x = 8,927.84

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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.