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Finding the Fourth Proportional to 15,817.20, 23,725.80 and 9,985.20

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Solution

The fourth proportional to 15,817.20, 23,725.80 and 9,985.20 is: 14,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.20 : 23,725.80 = 9,985.20 : x
  2. Step 2: Convert to fraction form
    15,817.20/23,725.80 = 9,985.20/x
  3. Step 3: Cross multiply
    15,817.20x = 23,725.80 × 9,985.20
  4. Step 4: Simplify right side
    15,817.20x = 236,906,858.16
  5. Step 5: Solve for x
    x = 236,906,858.16/15,817.20
  6. Step 6: Final answer
    x = 14,977.80

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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.