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Finding the Fourth Proportional to 20,935, 31,402.50 and 8,460.52

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Solution

The fourth proportional to 20,935, 31,402.50 and 8,460.52 is: 12,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935 : 31,402.50 = 8,460.52 : x
  2. Step 2: Convert to fraction form
    20,935/31,402.50 = 8,460.52/x
  3. Step 3: Cross multiply
    20,935x = 31,402.50 × 8,460.52
  4. Step 4: Simplify right side
    20,935x = 265,681,479.30
  5. Step 5: Solve for x
    x = 265,681,479.30/20,935
  6. Step 6: Final answer
    x = 12,690.78

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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.