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Finding the Fourth Proportional to 15,530.58, 21,431.49 and 8,456.34

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Solution

The fourth proportional to 15,530.58, 21,431.49 and 8,456.34 is: 11,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.58 : 21,431.49 = 8,456.34 : x
  2. Step 2: Convert to fraction form
    15,530.58/21,431.49 = 8,456.34/x
  3. Step 3: Cross multiply
    15,530.58x = 21,431.49 × 8,456.34
  4. Step 4: Simplify right side
    15,530.58x = 181,231,966.15
  5. Step 5: Solve for x
    x = 181,231,966.15/15,530.58
  6. Step 6: Final answer
    x = 11,669.36

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Why These Related Problems?

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