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Finding the Fourth Proportional to 15,406.86, 21,261.50 and 8,333.29

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Solution

The fourth proportional to 15,406.86, 21,261.50 and 8,333.29 is: 11,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.86 : 21,261.50 = 8,333.29 : x
  2. Step 2: Convert to fraction form
    15,406.86/21,261.50 = 8,333.29/x
  3. Step 3: Cross multiply
    15,406.86x = 21,261.50 × 8,333.29
  4. Step 4: Simplify right side
    15,406.86x = 177,178,245.34
  5. Step 5: Solve for x
    x = 177,178,245.34/15,406.86
  6. Step 6: Final answer
    x = 11,499.96

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