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Finding the Fourth Proportional to 15,617.58, 21,552 and 8,543.86

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Solution

The fourth proportional to 15,617.58, 21,552 and 8,543.86 is: 11,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.58 : 21,552 = 8,543.86 : x
  2. Step 2: Convert to fraction form
    15,617.58/21,552 = 8,543.86/x
  3. Step 3: Cross multiply
    15,617.58x = 21,552 × 8,543.86
  4. Step 4: Simplify right side
    15,617.58x = 184,137,270.72
  5. Step 5: Solve for x
    x = 184,137,270.72/15,617.58
  6. Step 6: Final answer
    x = 11,790.38

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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.