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Finding the Fourth Proportional to 12,308.83, 18,468.92 and 7,634.32

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Solution

The fourth proportional to 12,308.83, 18,468.92 and 7,634.32 is: 11,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.83 : 18,468.92 = 7,634.32 : x
  2. Step 2: Convert to fraction form
    12,308.83/18,468.92 = 7,634.32/x
  3. Step 3: Cross multiply
    12,308.83x = 18,468.92 × 7,634.32
  4. Step 4: Simplify right side
    12,308.83x = 140,997,607.16
  5. Step 5: Solve for x
    x = 140,997,607.16/12,308.83
  6. Step 6: Final answer
    x = 11,455.00

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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.