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Finding the Fourth Proportional to 17,205.60, 25,813 and 13,708.80

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Solution

The fourth proportional to 17,205.60, 25,813 and 13,708.80 is: 20,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.60 : 25,813 = 13,708.80 : x
  2. Step 2: Convert to fraction form
    17,205.60/25,813 = 13,708.80/x
  3. Step 3: Cross multiply
    17,205.60x = 25,813 × 13,708.80
  4. Step 4: Simplify right side
    17,205.60x = 353,865,254.40
  5. Step 5: Solve for x
    x = 353,865,254.40/17,205.60
  6. Step 6: Final answer
    x = 20,566.87

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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.