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Finding the Fourth Proportional to 12,557.08, 17,321.24 and 8,308.24

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Solution

The fourth proportional to 12,557.08, 17,321.24 and 8,308.24 is: 11,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.08 : 17,321.24 = 8,308.24 : x
  2. Step 2: Convert to fraction form
    12,557.08/17,321.24 = 8,308.24/x
  3. Step 3: Cross multiply
    12,557.08x = 17,321.24 × 8,308.24
  4. Step 4: Simplify right side
    12,557.08x = 143,909,019.02
  5. Step 5: Solve for x
    x = 143,909,019.02/12,557.08
  6. Step 6: Final answer
    x = 11,460.39

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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.