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Finding the Fourth Proportional to 20,693.76, 31,041.86 and 6,460.31

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Solution

The fourth proportional to 20,693.76, 31,041.86 and 6,460.31 is: 9,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.76 : 31,041.86 = 6,460.31 : x
  2. Step 2: Convert to fraction form
    20,693.76/31,041.86 = 6,460.31/x
  3. Step 3: Cross multiply
    20,693.76x = 31,041.86 × 6,460.31
  4. Step 4: Simplify right side
    20,693.76x = 200,539,851.07
  5. Step 5: Solve for x
    x = 200,539,851.07/20,693.76
  6. Step 6: Final answer
    x = 9,690.84

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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.