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Finding the Fourth Proportional to 15,580.36, 21,500.78 and 8,506.78

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Solution

The fourth proportional to 15,580.36, 21,500.78 and 8,506.78 is: 11,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.36 : 21,500.78 = 8,506.78 : x
  2. Step 2: Convert to fraction form
    15,580.36/21,500.78 = 8,506.78/x
  3. Step 3: Cross multiply
    15,580.36x = 21,500.78 × 8,506.78
  4. Step 4: Simplify right side
    15,580.36x = 182,902,405.29
  5. Step 5: Solve for x
    x = 182,902,405.29/15,580.36
  6. Step 6: Final answer
    x = 11,739.29

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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.