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Finding the Fourth Proportional to 16,339.98, 24,498.63 and 8,947.92

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Solution

The fourth proportional to 16,339.98, 24,498.63 and 8,947.92 is: 13,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.98 : 24,498.63 = 8,947.92 : x
  2. Step 2: Convert to fraction form
    16,339.98/24,498.63 = 8,947.92/x
  3. Step 3: Cross multiply
    16,339.98x = 24,498.63 × 8,947.92
  4. Step 4: Simplify right side
    16,339.98x = 219,211,781.35
  5. Step 5: Solve for x
    x = 219,211,781.35/16,339.98
  6. Step 6: Final answer
    x = 13,415.67

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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.