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Finding the Fourth Proportional to 20,783.82, 28,681.50 and 11,352.39

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Solution

The fourth proportional to 20,783.82, 28,681.50 and 11,352.39 is: 15,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.82 : 28,681.50 = 11,352.39 : x
  2. Step 2: Convert to fraction form
    20,783.82/28,681.50 = 11,352.39/x
  3. Step 3: Cross multiply
    20,783.82x = 28,681.50 × 11,352.39
  4. Step 4: Simplify right side
    20,783.82x = 325,603,573.79
  5. Step 5: Solve for x
    x = 325,603,573.79/20,783.82
  6. Step 6: Final answer
    x = 15,666.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.