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Finding the Fourth Proportional to 20,783.50, 28,681.10 and 11,352.06

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Solution

The fourth proportional to 20,783.50, 28,681.10 and 11,352.06 is: 15,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.50 : 28,681.10 = 11,352.06 : x
  2. Step 2: Convert to fraction form
    20,783.50/28,681.10 = 11,352.06/x
  3. Step 3: Cross multiply
    20,783.50x = 28,681.10 × 11,352.06
  4. Step 4: Simplify right side
    20,783.50x = 325,589,568.07
  5. Step 5: Solve for x
    x = 325,589,568.07/20,783.50
  6. Step 6: Final answer
    x = 15,665.77

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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.