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Finding the Fourth Proportional to 15,023.88, 20,709.95 and 11,241.32

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Solution

The fourth proportional to 15,023.88, 20,709.95 and 11,241.32 is: 15,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.88 : 20,709.95 = 11,241.32 : x
  2. Step 2: Convert to fraction form
    15,023.88/20,709.95 = 11,241.32/x
  3. Step 3: Cross multiply
    15,023.88x = 20,709.95 × 11,241.32
  4. Step 4: Simplify right side
    15,023.88x = 232,807,015.38
  5. Step 5: Solve for x
    x = 232,807,015.38/15,023.88
  6. Step 6: Final answer
    x = 15,495.80

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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.