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Finding the Fourth Proportional to 15,817.80, 23,726.70 and 10,000.20

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Solution

The fourth proportional to 15,817.80, 23,726.70 and 10,000.20 is: 15,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.80 : 23,726.70 = 10,000.20 : x
  2. Step 2: Convert to fraction form
    15,817.80/23,726.70 = 10,000.20/x
  3. Step 3: Cross multiply
    15,817.80x = 23,726.70 × 10,000.20
  4. Step 4: Simplify right side
    15,817.80x = 237,271,745.34
  5. Step 5: Solve for x
    x = 237,271,745.34/15,817.80
  6. Step 6: Final answer
    x = 15,000.30

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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.