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Finding the Fourth Proportional to 17,957.84, 24,780.23 and 10,401.75

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Solution

The fourth proportional to 17,957.84, 24,780.23 and 10,401.75 is: 14,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.84 : 24,780.23 = 10,401.75 : x
  2. Step 2: Convert to fraction form
    17,957.84/24,780.23 = 10,401.75/x
  3. Step 3: Cross multiply
    17,957.84x = 24,780.23 × 10,401.75
  4. Step 4: Simplify right side
    17,957.84x = 257,757,705.39
  5. Step 5: Solve for x
    x = 257,757,705.39/17,957.84
  6. Step 6: Final answer
    x = 14,353.50

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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.