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Finding the Fourth Proportional to 15,634, 21,575.47 and 8,560.48

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Solution

The fourth proportional to 15,634, 21,575.47 and 8,560.48 is: 11,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634 : 21,575.47 = 8,560.48 : x
  2. Step 2: Convert to fraction form
    15,634/21,575.47 = 8,560.48/x
  3. Step 3: Cross multiply
    15,634x = 21,575.47 × 8,560.48
  4. Step 4: Simplify right side
    15,634x = 184,696,379.43
  5. Step 5: Solve for x
    x = 184,696,379.43/15,634
  6. Step 6: Final answer
    x = 11,813.76

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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.