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Finding the Fourth Proportional to 15,530.64, 21,431.60 and 8,456.64

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Solution

The fourth proportional to 15,530.64, 21,431.60 and 8,456.64 is: 11,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.64 : 21,431.60 = 8,456.64 : x
  2. Step 2: Convert to fraction form
    15,530.64/21,431.60 = 8,456.64/x
  3. Step 3: Cross multiply
    15,530.64x = 21,431.60 × 8,456.64
  4. Step 4: Simplify right side
    15,530.64x = 181,239,325.82
  5. Step 5: Solve for x
    x = 181,239,325.82/15,530.64
  6. Step 6: Final answer
    x = 11,669.79

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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.