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Finding the Fourth Proportional to 20,358.88, 30,547.50 and 12,961.42

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Solution

The fourth proportional to 20,358.88, 30,547.50 and 12,961.42 is: 19,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.88 : 30,547.50 = 12,961.42 : x
  2. Step 2: Convert to fraction form
    20,358.88/30,547.50 = 12,961.42/x
  3. Step 3: Cross multiply
    20,358.88x = 30,547.50 × 12,961.42
  4. Step 4: Simplify right side
    20,358.88x = 395,938,977.45
  5. Step 5: Solve for x
    x = 395,938,977.45/20,358.88
  6. Step 6: Final answer
    x = 19,447.97

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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.