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Finding the Fourth Proportional to 16,817.40, 25,208.10 and 5,713.80

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Solution

The fourth proportional to 16,817.40, 25,208.10 and 5,713.80 is: 8,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.40 : 25,208.10 = 5,713.80 : x
  2. Step 2: Convert to fraction form
    16,817.40/25,208.10 = 5,713.80/x
  3. Step 3: Cross multiply
    16,817.40x = 25,208.10 × 5,713.80
  4. Step 4: Simplify right side
    16,817.40x = 144,034,041.78
  5. Step 5: Solve for x
    x = 144,034,041.78/16,817.40
  6. Step 6: Final answer
    x = 8,564.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.