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Finding the Fourth Proportional to 12,645.32, 17,442.42 and 7,677.32

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Solution

The fourth proportional to 12,645.32, 17,442.42 and 7,677.32 is: 10,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.32 : 17,442.42 = 7,677.32 : x
  2. Step 2: Convert to fraction form
    12,645.32/17,442.42 = 7,677.32/x
  3. Step 3: Cross multiply
    12,645.32x = 17,442.42 × 7,677.32
  4. Step 4: Simplify right side
    12,645.32x = 133,911,039.91
  5. Step 5: Solve for x
    x = 133,911,039.91/12,645.32
  6. Step 6: Final answer
    x = 10,589.77

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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.