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Finding the Fourth Proportional to 12,577.91, 17,358.32 and 8,321.60

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Solution

The fourth proportional to 12,577.91, 17,358.32 and 8,321.60 is: 11,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.91 : 17,358.32 = 8,321.60 : x
  2. Step 2: Convert to fraction form
    12,577.91/17,358.32 = 8,321.60/x
  3. Step 3: Cross multiply
    12,577.91x = 17,358.32 × 8,321.60
  4. Step 4: Simplify right side
    12,577.91x = 144,449,059.91
  5. Step 5: Solve for x
    x = 144,449,059.91/12,577.91
  6. Step 6: Final answer
    x = 11,484.35

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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.