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Finding the Fourth Proportional to 23,783.85, 32,849.28 and 15,812.28

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Solution

The fourth proportional to 23,783.85, 32,849.28 and 15,812.28 is: 21,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.85 : 32,849.28 = 15,812.28 : x
  2. Step 2: Convert to fraction form
    23,783.85/32,849.28 = 15,812.28/x
  3. Step 3: Cross multiply
    23,783.85x = 32,849.28 × 15,812.28
  4. Step 4: Simplify right side
    23,783.85x = 519,422,013.16
  5. Step 5: Solve for x
    x = 519,422,013.16/23,783.85
  6. Step 6: Final answer
    x = 21,839.27

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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.