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Finding the Fourth Proportional to 23,681.80, 35,522.70 and 9,857.80

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Solution

The fourth proportional to 23,681.80, 35,522.70 and 9,857.80 is: 14,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.80 : 35,522.70 = 9,857.80 : x
  2. Step 2: Convert to fraction form
    23,681.80/35,522.70 = 9,857.80/x
  3. Step 3: Cross multiply
    23,681.80x = 35,522.70 × 9,857.80
  4. Step 4: Simplify right side
    23,681.80x = 350,175,672.06
  5. Step 5: Solve for x
    x = 350,175,672.06/23,681.80
  6. Step 6: Final answer
    x = 14,786.70

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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.