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Finding the Fourth Proportional to 17,852.50, 24,636.45 and 10,780.66

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Solution

The fourth proportional to 17,852.50, 24,636.45 and 10,780.66 is: 14,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.50 : 24,636.45 = 10,780.66 : x
  2. Step 2: Convert to fraction form
    17,852.50/24,636.45 = 10,780.66/x
  3. Step 3: Cross multiply
    17,852.50x = 24,636.45 × 10,780.66
  4. Step 4: Simplify right side
    17,852.50x = 265,597,191.06
  5. Step 5: Solve for x
    x = 265,597,191.06/17,852.50
  6. Step 6: Final answer
    x = 14,877.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.