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Finding the Fourth Proportional to 15,820.80, 23,731.20 and 10,003.20

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Solution

The fourth proportional to 15,820.80, 23,731.20 and 10,003.20 is: 15,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.80 : 23,731.20 = 10,003.20 : x
  2. Step 2: Convert to fraction form
    15,820.80/23,731.20 = 10,003.20/x
  3. Step 3: Cross multiply
    15,820.80x = 23,731.20 × 10,003.20
  4. Step 4: Simplify right side
    15,820.80x = 237,387,939.84
  5. Step 5: Solve for x
    x = 237,387,939.84/15,820.80
  6. Step 6: Final answer
    x = 15,004.80

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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.