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Finding the Fourth Proportional to 12,534.88, 18,804.48 and 6,295.36

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Solution

The fourth proportional to 12,534.88, 18,804.48 and 6,295.36 is: 9,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.88 : 18,804.48 = 6,295.36 : x
  2. Step 2: Convert to fraction form
    12,534.88/18,804.48 = 6,295.36/x
  3. Step 3: Cross multiply
    12,534.88x = 18,804.48 × 6,295.36
  4. Step 4: Simplify right side
    12,534.88x = 118,380,971.21
  5. Step 5: Solve for x
    x = 118,380,971.21/12,534.88
  6. Step 6: Final answer
    x = 9,444.12

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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.