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Finding the Fourth Proportional to 17,820.84, 24,592.36 and 9,863.80

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Solution

The fourth proportional to 17,820.84, 24,592.36 and 9,863.80 is: 13,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.84 : 24,592.36 = 9,863.80 : x
  2. Step 2: Convert to fraction form
    17,820.84/24,592.36 = 9,863.80/x
  3. Step 3: Cross multiply
    17,820.84x = 24,592.36 × 9,863.80
  4. Step 4: Simplify right side
    17,820.84x = 242,574,120.57
  5. Step 5: Solve for x
    x = 242,574,120.57/17,820.84
  6. Step 6: Final answer
    x = 13,611.82

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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.