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Finding the Fourth Proportional to 17,571.16, 24,248.10 and 10,017.80

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Solution

The fourth proportional to 17,571.16, 24,248.10 and 10,017.80 is: 13,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.16 : 24,248.10 = 10,017.80 : x
  2. Step 2: Convert to fraction form
    17,571.16/24,248.10 = 10,017.80/x
  3. Step 3: Cross multiply
    17,571.16x = 24,248.10 × 10,017.80
  4. Step 4: Simplify right side
    17,571.16x = 242,912,566.09
  5. Step 5: Solve for x
    x = 242,912,566.09/17,571.16
  6. Step 6: Final answer
    x = 13,824.50

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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.