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Finding the Fourth Proportional to 16,573.54, 24,852.99 and 8,780.50

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Solution

The fourth proportional to 16,573.54, 24,852.99 and 8,780.50 is: 13,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.54 : 24,852.99 = 8,780.50 : x
  2. Step 2: Convert to fraction form
    16,573.54/24,852.99 = 8,780.50/x
  3. Step 3: Cross multiply
    16,573.54x = 24,852.99 × 8,780.50
  4. Step 4: Simplify right side
    16,573.54x = 218,221,678.70
  5. Step 5: Solve for x
    x = 218,221,678.70/16,573.54
  6. Step 6: Final answer
    x = 13,166.87

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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.