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Finding the Fourth Proportional to 12,442.30, 18,657.91 and 6,597.58

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Solution

The fourth proportional to 12,442.30, 18,657.91 and 6,597.58 is: 9,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.30 : 18,657.91 = 6,597.58 : x
  2. Step 2: Convert to fraction form
    12,442.30/18,657.91 = 6,597.58/x
  3. Step 3: Cross multiply
    12,442.30x = 18,657.91 × 6,597.58
  4. Step 4: Simplify right side
    12,442.30x = 123,097,053.86
  5. Step 5: Solve for x
    x = 123,097,053.86/12,442.30
  6. Step 6: Final answer
    x = 9,893.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.